# Step-by-step Solution

## Find the limit of (x^2e^x)/(1+e^(3x)) as x approaches +\infty

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### Videos

$\frac{+\infty^2e^{+\infty}}{1+e^{3+\infty}}$

## Step-by-step explanation

Problem to solve:

$\lim_{x\to+\infty}\left(\frac{x^2e^x}{1+e^{3x}}\right)$
1

Evaluating the limit when $x$ tends to $+\infty$

$\frac{+\infty^2e^{+\infty}}{1+e^{3+\infty}}$
2

Simplifying

$\frac{+\infty^2e^{+\infty}}{1+e^{3+\infty}}$

$\frac{+\infty^2e^{+\infty}}{1+e^{3+\infty}}$
$\lim_{x\to+\infty}\left(\frac{x^2e^x}{1+e^{3x}}\right)$

Limits

~ 0.39 seconds

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