Taylor polynomialsa. Find the nth-order Taylor

Chapter 7, Problem 19E

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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.

\(f(x)=(1+x)^{-3}\)

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.

\(f(x)=(1+x)^{-3}\)

ANSWER:

Solution 19EStep 1:Given thatThe nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2.f(x) = (1 + x)3

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