Find the limit of $\left(x^2-3\right)e^x$ as $x$ approaches $\infty $

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Learn how to solve operations with infinity problems step by step online. Find the limit of (x^2-3)e^x as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\left(x^2-3\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.