The function is .

(a)

The taylor polynomials of the function   is .

The polynomials are , and .

.

.

.

.

Complete the table for different values of .

(b)

Graph:

Graph the functions and maclaurin polynomials.

(c)

Observe the graph :

As the distance increases, the polynomial approximation becomes less accurate.

(a)

Complete the table for different values of .

(b)

Graph:

Graph of the functions and taylors polynomials is

(c) As the distance increases, the polynomial approximation becomes less accurate.