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Evaluate the limit $\lim_{x\to\infty }\left(x-\sqrt[3]{x^3-5}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\infty -\sqrt[3]{\infty ^3-5}$
Learn how to solve limits to infinity problems step by step online. Find the limit of x-(x^3-5)^1/3 as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(x-\sqrt[3]{x^3-5}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so =\infty. Infinity plus any algebraic expression is equal to infinity. Infinity to the power of any positive number is equal to infinity, so \sqrt[3]{\infty }=\infty.