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anonymous
 one year ago
Evaluate the limit using L'Hospital's rule if necessary
limx→∞ (x^4)e^(−x^2)
anonymous
 one year ago
Evaluate the limit using L'Hospital's rule if necessary limx→∞ (x^4)e^(−x^2)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim _{x \rightarrow \infty} x^4e ^{x^2}\] That's what it looks like :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0After simply plugging in 'infinity' for x, I get 'infinity/infinity' which is an indeterminate form and so I can use L'Hopital's Rule

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure if I'm right though...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And then I have trouble differentiating this xD

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1you rewrote it as \(\frac{x^4}{e^{x^2}}\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yep! Exactly! Is that right?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1do differentiate top and bottom...? what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it \[\frac{ 4x^3 }{ 2xe ^{x^2} }\] ?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1and cancel out x's

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right! So... \[\frac{ 4x^2 }{ 2e ^{x^2} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But then it's still \[\frac{ \infty }{ }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean infinity/ infinity

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so do L'Hopital again

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1and you can factor the 4/2 as well :p not that it really matters

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No matter how many times I repeat won't it just keep giving me the same thing?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh actually eventually I get 1/infinity right?!? :O

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1no. keep differentitaing the top and you'll get it down to a constant

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1yes \(e^{x^2}\) is a beast

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha awesomeness! And yeah it sure is a beast XD lol

perl
 one year ago
Best ResponseYou've already chosen the best response.0Correct, you will eventually get \( 1 / \infty \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahhh I see! Yeah that makes sense! Thanks so much for the tips! :)
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