Final answer to the problem
$\infty $
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Step-by-step Solution
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1
Evaluate the limit $\lim_{x\to\infty }\left(\left(x^2+1\right)e^x\right)$ by replacing all occurrences of $x$ by $\infty $
Learn how to solve limits to infinity problems step by step online.
$\left(\infty ^2+1\right)\cdot e^{\infty }$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2+1)e^x as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\left(x^2+1\right)e^x\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 plus any algebraic expression is equal to infinity.
Final answer to the problem
$\infty $
