Find the limit of $\tan\left(9x\right)^x$ as $x$ approaches 0

Learn how to solve limits of exponential functions problems step by step online. Find the limit of tan(9x)^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^{x\ln\left(\tan\left(9x\right)\right)}\right) by replacing all occurrences of x by 0. Multiply 9 times 0. Calculating the tangent of 0 degrees.