Find the limit of $\frac{1-\cos\left(x\right)}{x^2}$ as $x$ approaches $\infty $

Learn how to solve operations with infinity problems step by step online. Find the limit of (1-cos(x))/(x^2) as x approaches infinity. The limit of the product of two functions is equal to the product of the limits of each function. Evaluate the limit \lim_{x\to\infty }\left(\frac{1}{x^2}\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. Any expression divided by infinity is equal to zero.