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anonymous
 one year ago
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anonymous
 one year ago
??

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got infinity but its looking for a number.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just to clarify, you're asking to evaluate\[\lim_{x\rightarrow\infty}\frac{e^{8x}8x1}{x^2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're definitely right then...this limit definitely goes to infinity. There are several ways to show this, but easiest way is L'Hopital's Rule.\[\lim_{x\rightarrow\infty}\frac{e^{8x}8x1}{x^2}=\lim_{x\rightarrow\infty}\frac{8e^{8x}8}{2x}=\lim_{x\rightarrow\infty}32e^{8x}=\infty\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So theres no numerical answer you can get for that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Because it says a numerical answer is expected.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, this limit doesn't "converge" to any numerical answer. It just grows infinitely. That also makes sense because the function \(e^{8x}\) in the numerator grows WAY faster than \(x^2\) in the denominator, so the limit would never approach a finite number.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright thank you so much!!
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