Learn how to solve problems step by step online. Find the limit of (x-sin(x))^tan(x) as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to0}\left(e^{\tan\left(x\right)\ln\left(x-\sin\left(x\right)\right)}\right) by replacing all occurrences of x by 0. The sine of 0 equals 0. Multiply -1 times 0.

Find the limit of (x-sin(x))^tan(x) as x approaches 0