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Evaluate the limit $\lim_{x\to\infty }\left(x\ln\left(\frac{x^2}{1+x^2}\right)\right)$ by replacing all occurrences of $x$ by $\infty $
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$\infty \ln\left(\frac{\infty ^2}{1+\infty ^2}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of xln((x^2)/(1+x^2)) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(x\ln\left(\frac{x^2}{1+x^2}\right)\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. Infinity plus any algebraic expression is equal to infinity. Infinity divided by infinity (\frac{\infty}{\infty}) is an indeterminate form.