Exercise
$\lim_{x\to0}\left(\left(1-\cos\left(x\right)\right)x^2\cos\left(x\right)\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (1-cos(x))x^2cos(x) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(x^2\left(1-\cos\left(x\right)\right)\cos\left(x\right)\right) by replacing all occurrences of x by 0. Calculate the power 0^2. The cosine of 0 equals 1. Multiply -1 times 1.
Find the limit of (1-cos(x))x^2cos(x) as x approaches 0
Final answer to the exercise
0