Calculus - Infinite Limits

[Elmokorvo]

But... won't the denominator also be zero if x=2?

[AceofRiches]

Wow, enlightenment

[jinlane]

the limit does not exist if the right side limit and the left side limit are unequal. correct?

[patrickJMT]

@jinlane correct.

[panzR696]

does youtube recognize that your videos are raising grades and not killing brain cells like most other videos, GIVE THIS MAN A PRIZE

[rocknrollkunt]

Ugh it's lagging so bad.

[haro10000]

what is the limit for this?

lim x->0 (5x-4/x)?

[HD2mobile]

@haro10000 I think its 0. Don't take my word for it I'm just starting this lesson now.

[razc22]

thnx dude. youtube should promote you.

thank you very much, u save my grade.

[CHiNKLiGHTNiNG]

you my hero

[DakotaWiggles]

i believe what you may have been forgetting was an indeterminate number....not the same as does not exist

[patrickJMT]

@DakotaWiggles okie dokie

[TheLoveformankind]

love u

[dsv519]

is the basic idea around this video that if you cant do any kind of factoring or simplifying you have no other choice but to solve the equation like this?

[Lateilla]

in the first problem the answer you got was positive infinity. is it also correct to say that the limit from the right does not exist? or do we always have to say that the limit from the right is positive infinity?

[hello12913]

i was trying to figure out how you brought + (INfinity in start) i watched so many times that how + and - gives _ LOL>>.but you corrected it..thanks for an awesoem video.

[warnexus]

thanks man! you made it easier to understand!

[unrivaled37]

thank you so much, greetings from san salvador, el salvador!

[endauthority]

even with the mistake, this video is good :)

[lucuador1992]

so if a question has, for example, "lim x-->7" do u have to solve it for both 7+ and 7-?

[patrickJMT]

@lucuador1992 yes

[MrMarcoxrko]

@lucuador1992 just 7

[VivaAZN]

Damn, going to class so i can take test soon.

Wish found these Videos earlier so i can study better.

Watched as much video as possible within time of my discovery, and it helped...

Time, why you gotta do this to me T.T

[patrickJMT]

@VivaAZN well, now at least you know where you can go and study before the next test! : ) i hope it went well for you

[Bloodwarrior131]

Have you made a video on how to draw limits?

[Crystalkatana44]

holy crap.iyour first example is the same one in my book

[16amapola]

so the right and the left need to equal?

[gabriel94riot2]

When you said + infinity I almost cried. LOL I thought I was wrong...

[Obuzzerbee]

This was great! Your last example there was exactly the one on my assignment :D Helped a lot, thank you

[XxpianochickxX]

What if the numerator has multiplication? Do you multiply it out with whatever you're plugging in then divide?

[dragonflar8]

So when the problem is already given as a right hand/ left hand limit you don't have to do its opposite?

[patrickJMT]

@dragonflar8 that is correct

[EbayIbe]

I would like more complicated examples please

[mrazmemore]

Wow...you helped so much. And the fact that I can watch your videos on my own time instead of hiring a tutor (which takes up time and money) is so helpful during the school year. I really hope that you don't start charging $ for your videos, because you don't know how much you help your viewers. Few people can afford to hire a tutor, which is why your videos are so important to me. You're a pretty amazing tutor, too, I must add.

[jjpp1993]

lolz the first example is the same exercise that brought me to this vid

[gotmituns]

lols@ mistake you made, but this vid was helpful thanks.

[patrickJMT]

@gotmituns what mistake?

[URBNSpice]

For the answer at the end, could you say x->0 = -Inf?

[riceluvnflip]

YOU'RE A FUCKING WIZARD...

I literally came to this video for help on solving limx->5+ 6/(x-5) and it's the first problem you do...

(granted it's out of the early transcendentals single variable calculus textbook.. and it's the first problem on infinite limits [to my knowledge]) BUT STILLL.. WIZARD...

[chunkylover817]

You are a lifesaver! man good job and thanks for being my tutor :D definitely subscribed ^^

[AhmedTouma]

Thanks very much

[Adbisky]

OK I know already, it shouldn't be. regards

[Adbisky]

Shouldn't be plus infinity for minus zero and minus infinity for zero plus as a results?

[JihoonJKim]

Haha, Thank you sir!

I have a test coming up, and this answered a lot of questions!

To be honest, you said a lot of similar things to that of what my teacher said, but it's like everything was clarified!

Again, thank you! ^___^

[KaykSkellington]

Your videos are amazing, they have helped me so much! I have been paying for a tutor yet I feel I am benefiting way more from your videos! :)

[patrickJMT]

@KaykSkellington feel free to visit my website and make a donation if you want ; )

[3croN]

18 000 000th comment

[minibus1351]

wait. so, there can only be +infinity, -infinity or impossible? In my textbook, the answers are more various...

[itstasja]

This helped me so much ! Thank youuu

[ProudSF]

You're amazing

[Scarf3086]

Are you a grad student / professor? You must be some sort of teacher, as your videos are super useful (even for undergrad math majors XD) I was refreshing my knowledge so I could tutor somebody and your videos have been a great help. I'll gladly watch the commercials if you get a pay check for it lol

[superoriginalname]

did u use spit to clean ur board?

[jimuteno]

im sorry if this is too much to ask but could you change your camera to a better one? hehe

[forallpurposesonly]

Knew this already since I was 12

[firemanhalo]

@forallpurposesonly

shut up

[forallpurposesonly]

@firemanhalo I'll take that as a compliment.

[GeotheDio]

You are saving my life as I cram for my AP Exam.



[Mikelevay]

Stellar job. Thanks for the help. I'm sick of these damn downy commercials though. I hope you're getting paid.

[patrickJMT]

@Mikelevay yes, very sorry about the ads. trying to get rid of the ones that happen in the middle - i do not want them there. yes, i am getting a little bit of $. sort of torn about having th ads, but it means i get a small paycheck which gives me more time to make more videos so i hope it is good in the long run for everyone.

[steverock85]

@patrickJMT By all means, we love ads if we have good material;) I don't get why people hate ads if it gets them material with quality! Haters gotta hate...

[patrickJMT]

@steverock85 yes, everyone complains. but they do not complain about the fact that everything on youtube is FREE! : )

[thesystem007]

why cant i see this video or some of the other ones????? "/..i was only able to see about 5 of them, btw thank you so much this really helped but

[stefaniejanine1988]

thank you so much..u r great!!!

[windkiller97]

1, how old are you, and 2 dude ur good ._.

[nightmare5349]

bet you only 3 views are from americans

[patrickJMT]

@nightmare5349 i am not sure what that is supposed to mean.

[sumosumo84]

@patrickJMT he is saying americans are stupid, and could care less about this stuff. I am american so make that 4. :P

[JRLOC488]

damn it man you saved me from complete confusion, thanks for this great video, I got a limits quiz tomorrow and ill def use your way of approaching it.

[thagodfather007]

oh yea calculus in HD

[thezeropulse]

you explain math like my friends so i can relate :)) ahahah love your math bro :D

[doodlesballer]

i thin kyou plugged in positive zero two times when you shouldve plugged in negative zero... basically the limit does not exist

[MizzMiera90]

you make me love calculus finally! thank you!

[sonu6797]

Great Video . Helped a lot .

Thanks :)

[sonu6797]

Great Video . Helped a lot .

Thanks :)

[TheHighPanda18]

ok need help looking for a calculus equasion that never ends (computer uses)

[wnrsakara]

im a BSc student and i hav a test on wednesday but im completely LOST here!!! help any!?

[RipplingSHockWave]

I hope this couple few little examples made me laugh haha sorry I like your math

[patrickJMT]

@RipplingSHockWave i have no idea what you are trying to say, but i am glad u like my math

[chintoo266]

am already BSc .........three years back

now i have a test to appear in calculus.......and totally blank in ir

But Sir thank you very mush with all the due respects and reverance........your vids are a priceless

Hazrat Ali (R.A) said : A person who taught you One Word is Your Teacher.....You are my teacher now...........

[patrickJMT]

@chintoo266 glad you like the vids : ) good luck in your studies!

[animefan143]

One-sided Limits anyone? I'm having some trouble searching it. Sigh.

[animefan143]

Thank you! I was just about to freak out why the hell it was + infinity. HAHAHA. Anyway, are you trying to do some magic with all those lagging thing? xD

[animefan143]

why is it laggy? :(

[lyj41]

Thanks PATRICK!! But I was wondering when would nonzero/zero produce DNE???

[dia8449]

haha..u made feel stupid there for a minute.with that little screw up .cause ur fricking amazing all the time, i was thinking holy shit i dont get it..but thanks anyways

[hot3091]

man i wish u teach at my university.. so many ppl wud graduate wid better grades :P

[AlexP91]

doesn't the problem at 9:18 equal negative infinity?

[kpxflameboy]

woah its a bit laggy.

[patrickJMT]

@kpxflameboy get off of dial up

[kpxflameboy]

@patrickJMT my internet speed is 20mpbs o_O. ur video is actually laggy compared to ur other vids. nevertheless, i learned a lot for the first semester calculus from u! thx!

[patrickJMT]

@kpxflameboy ok, i was just messing with you - it is laggy!

[virginialikesyou]

What do you look like????

[alonsan100]

i kind of understand these limits... but not by a conceptual standpoint as my teacher wnts me too... but anyways, can you do some inifinte limits using trig functions please?

ex) the limit of sin2x/x as x->infinity...... what the heck is the sqeeze theorem?!?

[SpacySpaceCadet]

Thank you so much, This made so much more sense than my book.

[Ssendecki]

in the USA most of the students don't even know if -3^2 is positive or negative....

[EdwardManeikis]

@Ssendecki

Maybe in 7th grade.

Europeans like to make US high school sound like cake compared to theirs but honestly its the exact same thing.

[Ssendecki]

@EdwardManeikis I meant college students

[EdwardManeikis]

@Ssendecki

same applies

[ilovnerds1]

awesome awesome awesome! thnx!! i'm about to take a midterm and you really have helped me to understand it way better :)

[TheCoolfez]

when I don't fail calc and thus my GPA doesn't tank and I get into med school and become a doctor, I will send you some money for sure!

[Ashbourne03]

i hope your video's will save me.. im learning more from you than my prof. I'll have my final exam tomorrow, i have to get 51/70 to pass the subject. if i fail, i have to repeat it next yr, which will cause me to delay 1 yr in college.

[MrBawlah07]

Why didnt we use negative two (-2) at d denominator??

[HowToDo92]

is it only me or the video seems like it's lagging?

[mishutka24]

Patrick, thank you for your videos. Now I understand what comes out of where and why. You have a gift of explaining math concepts clearly and without further complications.

[brifink]

this video helped a lot...i actually caught your mistake right before the little comment bubble you put popped up and confirmed it. im taking calc 1 this semester in my college and this is the 3rd video of yours that has been a great help. keep up the great work! thanks a lot!

[mangopeeler07]

I'm glad that you post videos like this to help people. You just don't know what you're doing for people out there who really need this!

[Symposiumify]

Nice Effort.

[Symposiumify]

great.

[FattieAcidProduction]

why cant you be my teacher!?

[VanillaFllare]

Thank you very much!! When I get calculus ADD while watching this it's so useful to be able to rewind and play again. Unlike getting calculus ADD in class where I miss ten minutes and don't understand the entire lecture!!

[aingaran2003]

thanks =)

[martialrockarts2]

your calc videos are amazing i have an exam tomorrow and my teacher does not have the best accent so your saving me alot of grief thank you sooo much

[patrickJMT]

@martialrockarts2 u r very welcome

[Ssendecki]

@martialrockarts2 not your but you're

[LAUR3Nlx0]

This stuff makes me want to cry. Seriously.

[mustafaothman1991]

thanks for this. it was very helpful for me

i hope that you do more of these , harder ones

thanks again

[swaryne]

So wait, if right side and left side don't agree, it ALWAYS doesn't exist? When doesn't a limit exist?

what I'm thinking about is those functions that, from the left hand side of an asymptote, go to positive infinity, but on the right hand side, start all the way at negative infinity.

Whats the case for these type of functions? I think I am sure that infinite limits aren't the same as the ones I'm recalling....

[erikationofkita]

thanks for this vid! im takin calc this semester and you do a really good job of explaining it so simply. thanks :D

[patrickJMT]

@erikationofkita glad it helped : )

[zackray101]

Me gustan tus videos. . . Siguele con matematicas. I love your videos man. . Your getting this beaner an A in AB Calc. . . Thank you so much and keep doing what you do best. . .

[zombiecrowtv]

@zackray101

don't call yourself a beaner, that is a degrating name for our heritage and culture. 

[pssurfer7]

hey patrick, when my teacher was teaching us infinite limits she had a two- step process where we divide all the numbers by the highest coefficient in the denominator, and it was very confusing. was she teaching us about a different type of limits than you present here?

[patrickJMT]

@pssurfer7 yes, she was doing 'limits at infinity' - that is, when the independent variable (x) becomes arbitrarily large (goes to positive or negative infinity). The problems I do are often called infinite limits because the dependent variable (y) either goes to positive or negative infinity.

[Ssendecki]

@pssurfer7 the very same thing

[fateater77777]

Dude wouldn't you just love to toke with patrick. And learn and listen to him teach math whilst blitzed

[patrickJMT]

@fateater77777 puff puff pass

[zabsem]

Sir Patrick, why is it most of the maths teachers are the same, but only you and few different? thank for the help :D

[patrickJMT]

@zabsem i do not think i am much different from most

[nilsi1987]

Your simply the best teacher I now

[Enceladus187]

Hey Patrick, do you have a video specifically dedicated to one sided limits? If so, I cannot find it in your pull down of uploads. I've found 2 or 3 videos of yours you do not have listed in the limits playlist, which is why I ask. Thanks.

[wickedgalz]

can you help me solve this problem: lim x-->+infinity f(x) = x^3-4x^2-4! please!!

[aeropostale]

i got a 98 on my math test after watching all of your limit videos (never got over a 82 in math bfore this) thank you so so so much <3<3

[phudichat]

great vid help me lots...

[chibixaileen]

cool lol

[mypinkdollprincess]

thanks a zillion! you have no idea how helpful these vids are! Thanks again!!!

[mport9491]

is it just me, or is the video choppy?

[luck1233]

@mport9491 yes

[luck1233]

@mport9491 i mean the vid is choppy to me too

[iloveiligan14344]

Thanks mister. It helped me in reviewing my lessons for the previous semester...Thanks again...♫

[josuanette]

thank ya ! iam enlightened !!!

[max0707]

fluency of this video makes me swear, got 5 fps

[evilgance]

thank you so much prof. PATRICKjmt...

[Ronaldoo91]

wat if both of them r different like one of them is + infinity the second on is - infinty

[Ronaldoo91]

i was like whaaa + infinity whyyyyy then i see the correction

[t0pfox]

80 million comments? I think you need to find the limit of your ego before you do anything.

[ClassicsOfMath]

If you want to see Isaac Newton's seething passion, watch "The Invention of Calculus"

[hifhif123]

"shameless plug" lol... You deserve it fella... Thanks for all your vids...

[anibannani3]

could you do some examples where the limit as x --> 5+ or something. x approaching numbers from the left or right..not just 0..please!!

[lakercutie]

This video just put a smile to my face! A much simpler way of explaining limits

[danubis077]

THIS IS GODS SHIT THE HOLY GRAIL OF MATH

[golfkid333]

Thanks man, you just did a better job explaining limits in 12 mins than my teacher is able to in 50 mins.

[AfroQueenB]

Amazing lesson you could easily replace all the calculus teachers at my school... Thanks, I have just mastered limits!

[darklabelbeyond]

Awesome video! I actually understand infinite limits now haha

[iblade06]

major thanks.

[SKATTABEATS]

best math teacher ever!!!!!!!!!

[Ssendecki]

@SKATTABEATS helloo

[Sunday1290]

Id love to see some complex problems. I would say on a difficulty scale of 1-10 this is a 1-2, my cal teacher puts level 12 on her tests. So if you could do some level 12 difficulty problems that would be AWESOME!! Thanks.

[Sunday1290]

@Sunday1290 I also have test Wednesday over this material. So if you had the time. That'd be cool.

[wtfgannaon]

this is elephant shit

[BrandonCrawford1983]

this is horse shit

[karlkarlkarl1234]

MOAR!

[peterpatalano]

About to take my calc final... thanks patrick.

[333329753]

@Oviee08

how about shut da fuck up!! ppl are trying to study!

[ansar90]

you're a beast man ... i have my calc final in a few hours and i get everything except for limits ... thx for this

[ohgoodlord]

oh no i want my patrick to move normally!!! damn glitch i can't see his hand move at a steady pace.

[maths486]

The limit in fact DOES NOT EXIST - since negative infinity is NOT a real number. the minus infinity sign is just an indication / description of how the function behaves close to 0, and limit = negative infinity just indicates that the function decreases without bound from both sides of 0.

So the limit does not exist but to indicate the behavior of the function near 0, we put minus infinity.

[sMaRtiEs1202]

Dude... i love you... no homo.. but i love u all the way from canada...

ur my guidance!! and i love ur website... i aint from austin but hell a canadian dollar and a us dollar is abut the same for donation...

[sallamatt]

Yes! more limit examples pleassssse!!!!

[littlejohn17]

THANK YOU VERY MUCH..

[narleydude1]

Hi. Um, I have a question. I solved your last example using CALCULUS SOLVED on my PC (math software). Anyway, I solved it and the answer came out as THE LIMIT DOES NOT EXIST. I understan the reason behind both answers (your's and the computer's) and how to get there. My question is this. If on my next test, I have to solve a limit like this one, what "road" should I take. Both answers make a lot of sense, and yet, they are completely diferent.

[trunker420]

narleydude, the limit does not exist ONLY IF the limit from the positive side and the limit from the negative side are not equal. I think you must have entered something wrong on your math software. I would go with Patrick's method :)

[narleydude1]

Thanks for your reply. You're right, We're done with limits @ school, So I had to double check what you said and its true, I may have entered some wierd data on the math software last time I used it. Thanks again.

[Atheist269]

dude THANK YOU!. i got everything in calculus this far except chapter 1 which happened to be limits... and my common exam in 3 days is only on chapter 1 (even though the teacher said it will be on all 11 we learned lol) and now i think i get it. i was especially confused with -infinity and positive and the small plus/minus sign, but now i get it :D. Thxxxxxx