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Idealist
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Find lim as x approaches to positive infinity for x^5/e^5x.
 one year ago
 one year ago
Idealist Group Title
Find lim as x approaches to positive infinity for x^5/e^5x.
 one year ago
 one year ago

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Idealist Group TitleBest ResponseYou've already chosen the best response.0
The answer is 0, though.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.3
This is an indeterminate form, so you need to use l'Hospital 5 times. An exponential function will beat out a polynomial eventually.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.3
Basically, the polynomial eventually will become a constant, while the exponential function will remain an exponential function. That leaves you with a constant divided by infinity... which is 0.
 one year ago

LogicalApple Group TitleBest ResponseYou've already chosen the best response.0
Notice that the polynomial's 5th derivative is constant, but the denominator's derivative continues to increase.
 one year ago

Idealist Group TitleBest ResponseYou've already chosen the best response.0
Thank you, guys. I didn't do up to 5th derivative, that's why I was confused.
 one year ago
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