Improper Integral Example 2 PART 2/2 (KristaKingMath)

Improper Integral calculus example.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[kristakingmath]

@amaninderbraraa You can definitely use L'Hopital's Rule to evaluate when you run into 0(+infinity) or 0(-infinity), but you don't have to. In both cases in an example like this, you'll get 0. :)

[kristakingmath]

I'm glad this helped! :) PS... Using a limit is the technically correct way to evaluate it, because technically you can't plug infinity into a function directly. But of course plugging infinity in is exactly what you're doing when you evaluate at the limit, so you always get the same answer. :)

[kristakingmath]

@zrr91 All I have now is some videos on interval of convergence. I'll try to add more videos on convergence testing soon! :D

[kristakingmath]

thanks!! i hope that means the videos are helping!! :D

[marymyfr]

Really usefull, I watched a video where instead of putting huge numbers on the calculator you use the l'hopital thing but at the end it is gonna be the same.

[cardona]

You are the best!! Thank you very much

[McScubakis]

Thank you for saving my grade! Interesting that you are not using a limit, same answer though.

[mike_zander]

Thank you so much, your videos are extremely helpful! When are you supposed to split the limits into two integrals? I have an example that splits 0 to infinity into 0 to 1 and then 1 to infinity.

[Gytax]

I thought 0 times infinity is undefined.

[amaninderbraraa]

hey good work'
i have a question don't we use lopital's rule when infinity is multiplied by 0 by making it 0/0 or infinity/infinity

[zrr]

What about testing convergence? I'm having trouble with that.

[naeemghafori]

dont we use LH rule when it is zero x infi ??

[miodf]

whenever you're simplifying, isn't it (infinity times 0/3)? because as e approaches negative infinity, it approaches 0, but then you multiply that 0 by infinity, which then you use L'Hopitals rule...idk that's what Im seeing

[nishimwejohn]

it is we to say thank you. i really appreciate. Be blessed.. how  u help!!!

[nomaan]

You're soo adorable. Love how you break it all down :)

[TGGRG]

For those who are confused e^-infinity = 1 /e^infinity therefore 1/ infinity(or large number) = 0

[Moalbait]

y don't you use limit ?? and if this going to like that do y need to use limit in some situations.

i forgot to say it is useful video keep posting 

[GregLindor]

Hot and math smart? hmm, u got it goin on, thanks for the videos. They do help.

[sumaniomari]

Are we neighbors? I mean, I could just come over and get your help. Interesting keep up.