(a) Using definition of Taylor series, find the Taylor series for f (x) = sin(2x) centered at a = π/4 .Write out enough terms so that the pattern is clear. Show your work, and circle your final answer.
(a) Using definition of Taylor series, find the Taylor series for f (x) = sin(2x) centered at a = π/4 .Write out enough terms so that the pattern is clear. Show your work, and circle your final answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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(a) Using definition of Taylor series, find the Taylor series for f (x) = sin(2x) centered at a = π/4 .Write out enough terms so that the pattern is clear. Show your work, and circle your final answer.
(b) Use P4(x) to estimate the value of f(1). Show your work, and circle your final answer.
(c) Use the Taylor error approximation formula to estimate the maximum possible error in your answer to part (b). Show your work, and circle your final answer.
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