L'Hopital's Rule Example 2

[chinotovar]

i'm not even a calculus students in high school but once i watched one of your videos i just got hooked... your amazing man i'm learning a lot... u make calculus very easy i understand everything u say... keep it up n THANK YOU!!

[Antroz0197]

@chinotovar You will succeed in college. :D

[happy321hh]

Why didnt we use the qoutient rule?



[megamanxu]

@happy321hh because he just wants to show you what l'hospital rule, he also use the extraction of x trick, or simplifying trick, but since this is a l'hospital rule lesson, so that's what he's using haha. also quotient rule would still pretty crappy lol

[ManinderjitG]

Instead of factoring out an x-sqaured, you can also look at the coefficients of the ones with the x to the largest exponent. Take those coefficients and you get your answer. For instance, in this problem, Step 1) this limit is being evaluated as x approaches infinity, Step 2) x-squared is the "largest" exponent, there is an x-sqauared on the top and bottom, therefore, Step 3) I can take those coefficients out and get my answer. It's a neat trick but it is also a good idea to check your answer.

[DarthMrB]

Thank you so much.

[xmaams]

you could also look at this problem as a rational function with a horizontal asymptote of -4/3

[iamtheplauge]

@xmaams shhhhh... :P

[ParanormalEnities]

Does watching this in 720p HD to my 42" TV and 5.1 home cinema speakers makes me a nerd?

[Musiclo0ovee]

* I wish i can dislike the one who disliked the video *

[jettubes1]

very good, your channel is my classroom... :D

[MrAmerica99997]

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[mebootm]

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[CyclopsMaker]

My god AP calc AB is hard :(

[Wittymoo]

@CyclopsMaker This is Calc BC.

[bothar54]

LOVE YOU!!!!!

[ny1fanta]

cool. do more cal 2 problems=]

[Altafian]

Excellent keep it up:)

[vishal7244]

i knew it already

[hossein1413]

WOW !! thats nice