Exercise
$\lim_{x\to0}\left(\frac{cos\left(x-1\right)-\cos\left(x\right)}{x}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (cos(x-1)-cos(x))/x as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\cos\left(x-1\right)-\cos\left(x\right)}{x}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -1. The cosine of -1 equals \cos\left(-1\right). Multiply -1 times 1.
Find the limit of (cos(x-1)-cos(x))/x as x approaches 0
Final answer to the exercise
The limit does not exist