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Evaluate the limit $\lim_{x\to\infty }\left(\frac{-63x^2+2x}{\left(2x-4\right)\sqrt{x^2+2x}+16x^2-32x}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\frac{-63\infty ^2+2\cdot \infty }{\left(2\cdot \infty -4\right)\sqrt{\infty ^2+2\cdot \infty }+16\infty ^2-32\cdot \infty }$
Learn how to solve limits to infinity problems step by step online. Find the limit of (-63x^2+2x)/((2x-4)(x^2+2x)^1/2+16x^2-32x) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{-63x^2+2x}{\left(2x-4\right)\sqrt{x^2+2x}+16x^2-32x}\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 to the power of any positive number is equal to infinity, so \infty ^2=\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.