The BEST explanation of Limits and Continuity!

[helmuthro]

lol if i ever make a math tutorial video im gonna put "sexy hot murderer" in the tags so when people are searching "sexy hot murderer", my math tutorial on basic addition will come up (8

[broadcastmyself07]

i PRETTY much got it XD good video.

[litojonny]

you have nice marker hand writing

[TheTal3nt3dOne23]

Thanks a lot! I had trouble visualizing limits and understanding exactly what they are but i think you pretty much cleared that up

[canny6gemz]

This is "pretty much" and "clearly" well-explained :)

[terisablair]

That was a great explanation! I feel I like I am starting to grasp the limit concept! Thanks so much!

[Rhysabdeen]

Amazing. That is all that needs to be said. Great explanation with the first graph.

[Stephen17249]

The explanation of lim( x->4 ) of f(x) with the diagram of a concave up parabola is inconsistent with what he was saying. It should be lim ( x->3 )of f(x) is 4.

[NganaJHone]

I am very happy to see the vidoe from you, hopefully the others also are happy for You Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006.Enjoy

[Ondelendo]

Steady I Really Like This Video Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006

[bebeheuy]

Good, I like that you share this video Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006, I wish success always

[willamricard]

Nice Video The BEST explanation of Limits and Continuity That You Share , So Very Nice Thanks You

[imegatrone]

I Really Like The Video Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006.Enjoy From Your

[bundawartini]

Your Video Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department since 2006. Is Very Useful Sharing

[anakmudajaman]

after i watched this video Rohen Shah has been the head of Far From Standard Tutoring's Mathematics Department , my insight is very open because the video is very good to give information

[CHANELdeANDREW]

Thanks for the video, amazingly helpful :)

[Modi2020]

This was Excellent...but what does it mean to say a function is right or left continuous?

Your help is greatly appreciated!

[fuzzylumpkins219805]

This is great, but on that note it is hard to compete with patrickJMT.

[TheKhiladi95]

Amazing info...

[adynizamani]

Took me some time to soak all in but.... REMARKABLE =)

Thanks a bunch dude.... Now, I know what I'm going to write in my exams 8D

[DAYSINTHEBIGAPPLE]

what sucks about limits is the " definition", the application is easy. if you introduce these epsilon and delta, people would be lost, as I always do. Nice explanation, makes sense. The definition is absurd, only the guy who came up with knows , Newton I guess, gave people something to stress their butts about :D

[saa442]

why you so shakey!

[IkonPhenom]

I got a problem. I'm having trouble understanding it, especially how the its graph came to be.

"A wholesaler sells a product by the pound (or fraction of a pound); if not more than 10 pounds are ordered, the wholesaler charges $1 per pound. However, to invite large orders, the wholesaler charges only 90 cents per pound if more than 10 pounds are purchased. Thus, if x pounds of the product are purchased and

C(x) dollars is the total cost of the order, then

C(x) = x if 0≤x≤10 & 0.9x if 10<x

[IkonPhenom]

@IkonPhenom If you wanna know where I got the problem. It's from "The Calculus with Analytical Geometry" by Leithold on the Chapter about "Limits and Continuity." The section is about "One-sided Limits."

[mavideoseve]

AMEN. :D

[blakknwytt]

Thank u for the tutorial..

But I'm confused at 3:50.

Why is there no y value for x=3?

From the way I see, there's one and it is y=4. How can it be not defined? Pls help to clarify..

[FarFromStandard]

@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole

[blakknwytt]

@FarFromStandard THANK YOU!!! that cleared every doubt I had... Hoping to see more stuff from u on calculus

[aviralcr79]

@FarFromStandard hey now plz clear my doubt.....

what are the values of....[lim x~0 sinx/x ]....which reads as limit x tending to zero of function, sinx/x...

and lim x~0 [sinx/x]........[ abc] refers to greatest integer function of abc.....pls help..a very debated topic....:)

[MasterJake777]

@blakknwytt To add to @FarFromStandard's answer, you may actually be wondering when and how a function could ever have a hole in it. There are several different situations where this can occur, but a common one is dividing by zero. For example, in the following function:

f(x) = 1/x

If you actually graph that function, you'll notice that it is defined for all real values of x except 0. At x = 0, 1/x is undefined and thus a hole is formed.

[TheLoveformankind]

YOU ARE BEST PROFESSOR EVER

[miketh6]

YOU ARE EPIC!

[aquaristic]

Thank you for the video, its helped me in my battle to understand calculus.

[268Slebz]

gay!

[LAnonHubbard]

Really enjoyed this video, thanks.

[dalis001]

i finally understand limit thank you so much

[Ssendecki]

commercial as expected

[AStyleProductions]

so God has no limits and he doesn't have to change if he doesn't want to but when he does change he goes on for infinity?

[SpacySpaceCadet]

helped a lot thank you!

[CleverDjembe]

Let's learn about sex!

[ntascha]

if only they'd teach this in college.. would've saved me a lot of time and confusion

thanks!

[IDLMidolovemusic]

thanks a lot!!!!!!!!!it really helped me out!!! thnx again :)

[TokkiDiary]

LOL on tags.

[hrclsYT]

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Rajesh Koothrappali, is that you?

.

[gotmituns]

yeah, good vid

[hameed]

Are piecewise functions always not limits? Or does it depend on which x value you approach?

[FarFromStandard]

@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!

[hameed]

Only 59 seconds in but wow that was the best explanation I've gotten so far

[Dosalt]

wonderful

[vicedemise]

the type of teacher ive always wanted. thank u!

[Chuthuluku]

So much better at teaching than my math teacher!

[cheryyyim]

wow... this lecture is so much helpful!! :D thank you so much!

[blueovaltrucks]

I like the informal version explanation. Very helpful especially for us non-math majors. One question, the g(x) refers to the graph?

[FarFromStandard]

@blueovaltrucks Thanks!

g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!

[blueovaltrucks]

@FarFromStandard Thanks it does. I always have problems with the notation and what it means. One more question. At 3:50 you talk about f(3) = DNE will it ever be undefined?

[FarFromStandard]

@blueovaltrucks Actually it should be undefined. Whenever it's talking about the exact value of the function, you use "undefined", and whenever you are talking about the limit, you use "Does Not Exist". So in that case at 3:50, I should have used undefined. But earlier when I used limit, DNE should be used. Hope that helps!

[helpvidz]

What level of math is this?

[z06tiKo]

@helpvidz Calculus 1

[penorpls]

Top job. Thanx from Australia.

[prince92Omar]

MAn you are AMAZING ... trust me .. i swear aLL THE STUDENTS should subscribe this channel

really thanks

from Egyptian student in Canada

[SwanPrncss]

Hoooly crap. You're a LIFESAVER. How come I can understand you a lot better than the other tutors? XD

I guess it's because you don't use a lot of mathematical vocabulary, and you use everyday words, which makes it easier to understand.

[moonwalker8989]

@SwanPrncss I know! I actually had him for a tutor in real life. He calls it "Translating from Math to English", and right now he's doing a Ph.D. in Education. Hopefully he teaches other tutors how to do that.

[cheryyyim]

@SwanPrncss I totally agree!!! haha

[B3LLEND]

Thankyou for taking the time to upload this video. Very helpfull.

[Palmar3s]

thanx brother

[cutohot]

abe kya he ye banda.....desi angrez ..@#$%!