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hpfan101
 one year ago
\[\lim_{x \rightarrow \infty} xe^{x} \]
hpfan101
 one year ago
\[\lim_{x \rightarrow \infty} xe^{x} \]

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it is the same as \[\lim_{x\to \infty}\frac{x}{e^x}\] does that help?

hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0Well, I got that far. And when I take the limit of that, I would get infinity over infinity. Not sure what to do next.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0think what grows faster \(e^x\) or \(x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0of course much much (much) faster

hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0So, since the denominator will be a much bigger number, the fraction will be very small. So is the answer of this limit zero?
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