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The limit of a logarithm is equal to the logarithm of the limit
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$\ln\left(\lim_{x\to\infty }\left(\frac{1+x^{-2}}{x^{-1}}\right)\right)$
Learn how to solve problems step by step online. Find the limit of ln((1+x^(-2))/(x^(-1))) as x approaches infinity. The limit of a logarithm is equal to the logarithm of the limit. Evaluate the limit \lim_{x\to\infty }\left(\frac{1+x^{-2}}{x^{-1}}\right) by replacing all occurrences of x by \infty . Apply a property of infinity: {\infty}^k=0 if k<0. Apply a property of infinity: {\infty}^k=0 if k<0.