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Evaluate the limit $\lim_{x\to\infty }\left(x^2e^{-x}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\infty ^2\cdot e^{- \infty }$
Learn how to solve limits to infinity problems step by step online. Find the limit of x^2e^(-x) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(x^2e^{-x}\right) by replacing all occurrences of x by \infty . Apply the formula: n^{- \infty }=0, where n=e. Infinity to the power of any positive number is equal to infinity, so \infty ^2=\infty. 0\cdot\infty is an indeterminate form.