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** Step-by-step Solution **

** Specify the solving method

We could not solve this problem by using the method: **Limits by Factoring**

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Evaluate the limit $\lim_{x\to\infty }\left(\frac{e^x}{x^2}\right)$ by replacing all occurrences of $x$ by $\infty $

Learn how to solve limits to infinity problems step by step online.

$\frac{e^{\infty }}{\infty ^2}$

Learn how to solve limits to infinity problems step by step online. Find the limit of (e^x)/(x^2) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{e^x}{x^2}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^2=\infty. Apply a property of infinity: k^{\infty}=\infty if k>1. In this case k has the value e. Infinity divided by infinity (\frac{\infty}{\infty}) is an indeterminate form.

** Final Answer

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