Chapter 6.3, Problem 81E

To determine

(a)

Weather $f\left(x\right)=\frac{1-\cos x}{x}$ is even, odd or neither.

To determine

(b)

To find:

The $x$ – intercepts of the graph of $f\left(x\right)=\frac{1-\cos x}{x}$.

To determine

(c)

To graph:

The trigonometric function $f\left(x\right)=\frac{1-\cos x}{x}$ using an appropriate viewing rectangle.

To determine

(d)

To describe:

The behavior of the function $f\left(x\right)=\frac{1-\cos x}{x}$ as $x\to \pm \infty$.

To determine

(e)

To explain:

The behavior of $f\left(x\right)=\frac{1-\cos x}{x}$ as $x$ approaches $0$.