Taylor polynomials

a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2.

b. Graph the Taylor polynomials and the function.

f(x) = In ( 1 − x)

Solution 15E

Step 1 :

Given

(a).We are asked to find the order polynomial with and for

The taylor polynomial is generally given by

In this question it is