Chapter 1.5, Problem 59E

(a)

To determine

The values of the table by using graphing utility for the function $\underset{x\to 0^{+}}{\lim }\frac{x-\sin x}{x}$.

$\theta$	1	0.5	0.2	0.1	0.01	0.001	0.0001
$f\left(\theta \right)$

(b)

To determine

The values of the table by using graphing utility for the function $\underset{x\to 0^{+}}{\lim }\frac{x-\sin x}{x^2}$.

$\theta$	1	0.5	0.2	0.1	0.01	0.001	0.0001
$f\left(\theta \right)$

(c)

To determine

The values of the table by using graphing utility for the function $\underset{x\to 0^{+}}{\lim }\frac{x-\sin x}{x^3}$.

$\theta$	1	0.5	0.2	0.1	0.01	0.001	0.0001
$f\left(\theta \right)$

(d)

To determine

The values of the table by using graphing utility for the function $\underset{x\to 0^{+}}{\lim }\frac{x-\sin x}{x^4}$.

$\theta$	1	0.5	0.2	0.1	0.01	0.001	0.0001
$f\left(\theta \right)$