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Apply the formula: $\lim_{x\to c}\left(\frac{a}{b}\right)$$=\lim_{x\to c}\left(a\right)\lim_{x\to c}\left(\frac{1}{b}\right)$, where $a=1-\cos\left(x\right)$, $b=x^2$ and $c=\infty $
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$\lim_{x\to\infty }\left(\frac{1}{x^2}\right)\lim_{x\to\infty }\left(1-\cos\left(x\right)\right)$
Learn how to solve problems step by step online. (x)->(infinity)lim((1-cos(x))/(x^2)). Apply the formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(a\right)\lim_{x\to c}\left(\frac{1}{b}\right), where a=1-\cos\left(x\right), b=x^2 and c=\infty . Evaluate the limit \lim_{x\to\infty }\left(\frac{1}{x^2}\right) by replacing all occurrences of x by \infty . Apply the formula: \infty ^n=\infty , where \infty=\infty , \infty^n=\infty ^2 and n=2. Apply the formula: \frac{a}{b}=0, where a=1 and b=\infty .