Taylor polynomialsa. Find the nth-order Taylor polynomials

Chapter 7, Problem 13E

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QUESTION:

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) = cos x

Questions & Answers

QUESTION:

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) = cos x

ANSWER:

Solution 13E

Step 1:

Given that

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

f(x)= cos x

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