Find the limit of $\frac{e^x\sin\left(x\right)-\left(e^x-1\right)\cos\left(x\right)}{\left(e^x-1\right)\sin\left(x\right)}$ as $x$ approaches 0

Learn how to solve problems step by step online. Find the limit of (e^xsin(x)-(e^x-1)cos(x))/((e^x-1)sin(x)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{e^x\sin\left(x\right)-\left(e^x-1\right)\cos\left(x\right)}{\left(e^x-1\right)\sin\left(x\right)}\right) by replacing all occurrences of x by 0. Calculate the power e^0. Subtract the values 1 and -1. Calculate the power e^0.