Textbook Problem

Evaluating a Trigonometric Limit In Exercises 53–62, complete the table to estimate $\underset{x\to 0}{\lim }f\left(x\right)$. Use a graphing utility (set in radian mode) to graph the function and confirm your result. See Example 4.

x	-0.1	-0.01	-0.001	0.001	0.01	0.1
f(x)

$f\left(x\right)=\frac{1-\cos 2x}{x}$