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Evaluate the limit $\lim_{x\to\infty }\left(\left(1-e^{-x}\right)^2\right)$ by replacing all occurrences of $x$ by $\infty $
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$\left(\left(1-1\cdot e^{- \infty }\right)^2\right)^{2x}$
Learn how to solve limits problems step by step online. Find the limit (x)->(infinity)lim((1-e^(-x))^2)^(2x). Evaluate the limit \lim_{x\to\infty }\left(\left(1-e^{-x}\right)^2\right) by replacing all occurrences of x by \infty . Apply the formula: n^{- \infty }=0, where n=e. Multiply -1 times 0. Calculate the power 1^2.