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Taylor polynomialsa. Find the nth-order Taylor
Chapter 7, Problem 20E(choose chapter or problem)
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.
\(f(x)=\sin ^{-1} x\)
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.
\(f(x)=\sin ^{-1} x\)
ANSWER:Solution 20E
Step 1:
A Taylor series of function f(x) at a is defined as :-