Learn how to solve problems step by step online. Find the limit of (x^2cos(x))/(sin(x)^2) as x approaches 0. The limit of the product of two functions is equal to the product of the limits of each function. Evaluate the limit \lim_{x\to0}\left(\cos\left(x\right)\right) by replacing all occurrences of x by 0. Any expression multiplied by 1 is equal to itself. Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 2.

Find the limit of (x^2cos(x))/(sin(x)^2) as x approaches 0