L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan Academy

L'Hôpital's Rule Example 1

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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.

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[BryhanEspinosa]

yo dawg I heard you like limits so we put a limit in a limit so you can solve for the limit by using the limit of the limit for the limit of that limit limit's limit to get the limit.

[MarkToast]

my prof calls it the insanity rule because you'e literally trying the same thing over and over

[chisomopara]

So do we continue to use l'hopital's rule until we come up with a non-indeterminate answer?

[merritt]

L Hopital's rule, aka that rule you wish you would've known in Calc 1 lmao.

[ah]

Sal, your a genius...if only you were my personal teacher

[gkd]

You know this guy is something special when he gets the same thing 3 times in a row yet still trudges on!

[jimmyalderson]

How do you know when to give up on L'Hopital's rule? I understand the logic that 'this could've been your starting pointm' but when do you realise the rule won't work?

[bdgrey]

I call shenanigans!

Math is beautiful

[DGVFX]

This is great!! I wish their was also an engineering or computer programming section that would be amazing
Thumbs up if you agree!

[kathryniii]

omg! this is so crazy...my calculus final is tomorrow, i hope the test won't give problems like this ..aint got time to take 100 derivatives -__-"
anyways, thanks for explaining! the video helps me understand better! ^^

[Subbu]

Thanks a well. Example on L'Hopital's rule explained in an excellant manner which faciliated me to comprehend the rule without any ordeals.

[arnsassassiner]

i have my finals this weekend. u are my hero !!!

[Salma-qyqb]

You're so excited that your videos make me happy❤ we love you, Sal❤

[Ganondorfothraccount]

@Charddy I find it very helpful because it reinforces his previous statements, and becomes more concrete in my mind. That being said, everyone is entitled to their own opinions.

[Darkknight]

but how much should i check for the limit?
you differentiated the initial functions like 4 times before finding the limit.. so am i supposed to keep on going for 10-20 times to find a

[internationalremixes]

thanku so don't hv helped me how much...i'm in cbse class 12.and i've just strucken at one of the NCERT exemplar problems of continuity and differentiability but ur this video made me do that....thanks my brother..i love yaa

[Algo]

would it be true that f(x) = -2cos(x) + 8cos(2x) / cos (x) i.e the function that solved the problem is the third derivative of f(x) = 2sin(x) - sin(2x) / x - sin(x) i.e the initial function?

[ayeshaanuruddha]

L'Hôpital really teach me here to never give-up. and you too sir!

[IdesireCake]

This one is in my Adams calculus book.. 

[emoflix]

Isn's it much simpler to cancel sin x and get -2 + 8cos x  at the 3rd step? One step saved and no need to differentiate again, and the limit evaluates to 6...