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# Answer: Taylor polynomialsa. Find the nth-order Taylor ISBN: 9780321570567 2

## Solution for problem 15E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 15E

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)

Step-by-Step Solution:

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 Step 2 of 6

Step 3 of 6

##### ISBN: 9780321570567

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Answer: Taylor polynomialsa. Find the nth-order Taylor