# Calculus: Calculus, Integration by substitution and change of variables – #44

Question: Find the following limits if they exist. If a limit does not exist, explain why.

a) $\underset{x\to 0}{\mathop{\lim }}\,\frac{5x-\sin x}{x}$

b) $\underset{x\to 0}{\mathop{\lim }}\,\frac{x}{{{e}^{x}}}$