Chapter 11.2, Problem 82PE

To determine

To calculate: The value of the limit $\underset{x\to 0}{\lim }\frac{\tan x}{x}$ using the properties of limits and the provided limits $\underset{x\to 0}{\lim }\frac{\sin x}{x}=1,\underset{x\to 0}{\lim }\frac{\cos x-1}{x}=0,\underset{x\to 0}{\lim }\sin x=0\text{ and }\underset{x\to 0}{\lim }\cos x=1$.