Calculating a Limit by Getting a Common Denominator

[TBV121]

I used your method, but now I have a six in the denominator and a zero in the numerator. Is this a proper answer?

[neenie87]

Im sitting here crying because I suck at calc and this whole simplifying stuff, and i have a final on thursday!!! whyyyyyy calculus, whyyyyy!!!

[MadManCael]

how did you get the -h? i dont get that part

[Unrunning]

@MadManCael he subtracted 3 from (3+h), which is 3-(3+h), and you have to distribute the negative, so it makes 3-3-h, which leaves -h.

[MadManCael]

@Unrunning ahh i just saw youre reply, i had the exam ages ago but i passed anyway so cudos to patrick (Y) and thanks for your reply

[aljensen2001]

I got in trouble on my first calculus test for forgetting to put the limit notation. Maybe it's something you can include on your videos, because it is an mistake some people make. You have to use the limit notation untill you plug the limit into the equation.

[patrickJMT]

@aljensen2001 well, i use it in all my steps. i never ever leave it out so i think it is something i include ; )

[aljensen2001]

@patrickJMT You are the best. I was just trying to help out. I know im one of those people who like to just do lots of math without notations witch got me in trouble a lot in limits derivateves and intergals lol. I just thought you can do the math and people are suppost to get what I am doing....... bad habbit

[patrickJMT]

@aljensen2001 well, if you are doing it on your own, you can be a bit more ' loose ' although even then i would not recommend it. mathematicians are trained to be very very detail oriented, so keep that in mind when testing! make it look like a beautiful work of crystal clear art.

[dalis001]

I love your videos and the way you teaches thank you so much

[kninez13]

Dude...thanks so much....I don't know how I could possibly thank you for your videos, they've helped so much...do you accept hug's and kisses....lol> no jokes..thanks man..you outta go into teaching.

[patrickJMT]

@kninez13 hugs and kisses, yes i do accept those

[heyyy3210]

Might I just say, you're a genius.

[heyyy3210]

Teachers need to be more like you......

[1wes2here]

You should be making money on these.

[FatBoyNotSlim1993]

your mini videos = to my math professor's 2hr 15min lecture! my professor suck ass at teaching his name is Hiley and he can confuse the fuck outta anyone the way he takes 30minutes to solve a doubt sum. Your videos saved my life and now im confident on aceing my math test this friday. (ive done calc in my IB diploma highschool before and i must say it was 10times more versatile than college shit) I mean for 3weeks we're still stuck on focusing on limits even though its not that important!

[FatBoyNotSlim1993]

@FatBoyNotSlim1993 *sucks ass :P

[zoecastillo717]

Now that I have found you, I am deathly afraid that one day I will wake up and you will be gone. I finally get this stuff, and I just know you're my only hope in Calc!

[patrickJMT]

@zoecastillo717 deleting my videos in a week, so get your fix now.  ( jk!! )

[zoecastillo717]

@patrickJMT LOL I almost had a heart attack!!! :D Seriously, thank you for being awesome and doing all this stuff :)

[xxxismeny]

i dont understand how a guy whos not getting paid for this is explaining it better than professors at universities...what failures

[jellemann]

your whole site is suuuupergreat.

thx alot man for your effort and help.

its extremely kind of you to do this for free!

[JTLim71]

love the way you teach

[alejalaconeja01]

cool! excellent videos

[gljma4ever]

Applause

[gljma4ever]

Aplause

[MrMig3]

math is a notion represented by inanimate symbols representing a desired or unkown quantity, it is the base of our lives, and our lives rotate around it, it is the base for every natual phylosophy, and more abstract phylosophy too

[fivefingersalute]

Isn't this the notation for the derivative?

[esetteismyname]

Is it okay to say that I love you? Well... maybe not, but you are pretty AWESOME :D

Maybe calculus isn't that hard... Thanks to you. :D:D

[Ajklira]

I just pff..I guess the word perfect doesn't describe you in the best way ...you are my mathman thank you a lot...I am doing now limits without any problem the reason of that is u ..so thank you many times...

[MsAgon151]

OMG!!! You are a life saver. I recently broke my leg trying out fo roller derby, so I have no been able to go class, and my math calss has been doing limits. This video is really helping me catch up and do my homework. I have a final exam soon, and so far you are helping me out!! Thanks for putting these vids up :D

[KaAndreaChanel]

ugghhhhhhh!!! whyy can't you be my math teacher? just learned more from you than i have all week! thank you sooooooo muchh !

[claudiaaaa08]

i dont like math 

[patrickJMT]

@claudiaaaa08 i dont care that you dont like math

[jvrcb17]

@patrickJMT HA! bitch got told, lol. math-1, claudiaaaa08-0

[djd259th]

@claudiaaaa08 Not liking math is similar to not liking vegetables. You don't have to like it, but complete avoidance usually leads to serious reprocussions.

[patrickJMT]

@djd259th ha, well said. i will remember that one.

[Noremae]

@djd259th I guess I am more scare about the repercussions of avoiding vegetables. At least, I don't avoid math, I just have hard time learning...

[djd259th]

@Noremae Me too! What's important is that you remember that once you know it, you're set. Of course, then you always have to learn something else, but try to view it optimistically...

[007abhinavagarwal]

math is better than history geography english ........etc.

[scimath42]

@claudiaaaa08

"To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature."

- Richard Feynman

[MsWaii]

you are ammmmmmmmmmaaazingggg. seriouslyy you're going to save my life when i write my math test on friday ♥♥♥ thank you soo much!!

[piraterosie13]

wish I found these videos in the beginning of this semester but I guess it's never too late...I think you might help me pass, because my teacher certainly isn't going to! thanks for the help! :)

[buffering159]

@piraterosie13

My calculus teacher only makes fun of me and says go back to algabra. I secretly want to stuff his head in those things that make mulch. hehe. I wish i had you as my teacher all my teacher can do is talk about his kids all the F@#$ time and never help us when we get lost

[jessssXD]

i like ur voice..

[patrickJMT]

@jessssXD thanks ; )

[gjeni7]

@patrickJMT @patrickJMT HI Professor Patrick, where can i learn more about that when you made the (3+h) ^-1 to a positiv (3+h)^1

:)

[plantlover2234]

Um well this video is certiantly made by a very well educated person. But I'm only in sixth grade so I only know parts. Can u do something easier next time? :P

[vanityx33]

i wish you were my teacher!

[patrickJMT]

@VarsityChick724 glad u like the videos : )

[katiemartin220]

Seriously, this is the best instruction I have seen!!! I have been totally freaking out because of my calculous class and PatrickJMT is my hero!!!

Im sure that you anyone who watches your videos will be as grateful as I am.

[MrinalChoudhary]

haha..i love this..now lets see who stops me from getting A grade...:o)

[fhk55]

i had to sit for an admission test day after tmrw and i knew nothing about this thing.......now i can even teach it to people....thnx alot

[yhevrah]

thank you very much!!!!!!!!!! for doing all of this stuff, plus the fact that you're best at doing this.. it's too good to be true..

[tangomaurine56]

you are a Godsend!! thankyouthankyouthankyou! this video probably just kept umw from pulling my acceptance! :D

[Hackiesacker007]

YOU. ARE. AWESOME.

Thank you!!

[josuanette]

thanks for the effort sir ! i feel blessed to have seen this video

[patrickJMT]

@josuanette well, blessed may be a bit too nice of a compliment... glad you like it though!

[Vehemency]

Thank you for these videos! This one was particularly enlightening!

[karlkarlkarl1234]

penis.

[trudal987]

Aids. Cock. I was planning to do the same thing you just did but you beat me to it. Fuck i hate finals, Optimization blows chunks.

[Whoeee09]

3-(3+h)= -h..... You have to distribute the negative sign to both the 3 AND the h in the (3+h). :-)

[jianzzz88]

isnt 3-(3+h) = h instead of -h?

[xixxon]

you have to distribute the - . Think of it as 3-1(3+h) so it will equal 3-3-h = -h

[SirPumpernut]

Thanks for the help this video saved me during my Calculus Project. I think its great that people like you make these kind of videos for no money.

[BajanCreation]

fucking hell that is alot of work for a sum like that. I hate fractions. Damn i have to spend alot of time with these so i can get comfortable with fractions.

[smilewolf99]

thanks a loooooot, i love when people help others.

[karlkarlkarl1234]

"i love when people help others."

Yep unfortunately you see it less & less these days...

[viper56610]

I.

Freaking.

Love.

You!

[333329753]

so basically you fly! you said.... I F L Y

[amaka56]

wow

i wish you were my math teacher.

i learned more from your limit videos (in 10 min) than i did from a week of instruction at school.

thx a ton

:)

[sairoku]

is it possible for you to post some videos that talk about Limit Laws?

[Ollopaman]

Very well spoken and straight forward. Thank you.

[bostriff]

it's nice to plug things in

[aparrotslife]

I find this to be absolutely helpful! Thanks a million!

[patrickJMT]

looks like you are doing calc 1 stuff : )

i should have most vids for stuff through calc 2 and about 65% of calc 3

[Jules787B]

lol i need help on removeabl;e and non removable arghhhhhhhhhhhhhhhhhhhhhhh

[Jules787B]

i think my cal i s ap level i swear to god the questions i have are so much harder i have remember double ngl eidentities and everything arghhhhhhhhhh help me on removeable and non removable and greatest integer omfggggggggggg

[crf100person]

the only person that really needs to know this is the teacher teaching it

[patrickJMT]

truly you are brilliant

[MetallicaFTW7]

omg flaw you forgot the equals sign when you started on the second piece of paper :P but your still a really awesome teacher and i could never understand how to do this from my professor at school... thank you so much.

[JessicaMusic97]

im realli not that good at maths and this is a good vid to help ppl but i did not get it. Nice vid tho i rated 5 star nd faved

[panefuldeath]

this is the 3rd one, watch the 1st and 2nd one before watching this one.

[mingalabaa]

JessicaMusic97,

Uderstand the algebra in this example: First, simplify the numerator: 1. Remove the negative power of the two terms in the numerator. Flip each terms, making them become fractions. 2. Solve these two fractions, by finding a common denominator which is 3(3+h). So he got

3-(3+h)/ (3+h) in the numerator. Distribute the negative sign and get 3-3-h/3(3+h) = -h/3(3+h) in the numerator. Now, remember the h in the denominator => -h/3(3+h)/ h. Flip and get ..continued

[mingalabaa]

Continued (minagalabaa)

Flip and get -h/3(3+h) * 1/h .

Cancel h out and you get -1/3(3+h).

Now plug in h->0 and get - 1/3(3+0) = -1/3(3) = -1/3*3= -1/9

Key is that in this kind of limit problem, find things that can cancel out before plugging in. So you need to determine whether a problem is direct plug in type or not. For example, all polynomials are plug in type. This problem was not polynomial. Still, you can plug in see that it becomes 0/0 and so you know it's not a plug in type.

[xkrayzi3x]

5 stars, thanks :)

[knu71]

jus starting calculus and limits,, and i must say you have helped me greately!! thanks heapss brutha! if only my teacher explained the way you do!

[sullivanseven]

I just solved one of my problems with this video, thank you very much, God bless

[josue87]

The videos help out so much. thanks alot patrick.

[sokkakings]

May God Bless you as you have blessed me with some knowledge...in other words...thanks bud

[patrickJMT]

happy to help : )

[dread205]

Amazingly helpful

thanks

[sososims]

when we get o/o, cant we just use l'hospitals rule?

[tony225]

Yes.

[eher124037]

Patrick, this was very helpful and you explain it so well as you go along that makes it clear to me. Thanks for taking the time to post this video.

[patrickJMT]

no problem : )

[majushvitz]

great tutorial, really helped me. thanks.

[patrickJMT]

glad to help

[mawgwd]

so helpful as usual ... thanks

[MassNssen]

is this for the 12th grade?

[patrickJMT]

i think this is for whatever grade you are in while you are studying calculus : )

[MassNssen]

I just want to know when americans deal with this kind of functions.

[patrickJMT]

well, functions are introduced in algebra, which is middle school stuff: i would say typically around 8th grade (far too late in my opinion), although a few people may see it sooner/later.

[patrickJMT]

of course, calculus may happen anywhere from 9th grade (if they are talented) through 12th grade.

[berner316]

Thanks for taking the time to put these up. It's greatly appreciated. Your videos explain stuff so well!

[patrickJMT]

thanks friend! i appreciate the nice comments!

[thisisstupiud]

Wow! Thank you so very much for doing this.

[patrickJMT]

no problem. glad it helps : )

[xxcaidozxx]

nice, thanks!