9.4.28 Consider the function f(x)-cos (x) a. Differentiate the Taylor series about 0 for f(x) b. ldentify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative a. Choose the correct answer below 6x17 6x29 6x41 O B. -1 6x236x35 3! Oc, -6x5-6x17 6x29 6x41 2! 4! 6! 3! Click to select your answer and then click Check Answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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9.4.28

9.4.28
Consider the function f(x)-cos (x)
a. Differentiate the Taylor series about 0 for f(x)
b. ldentify the function represented by the differentiated series
c. Give the interval of convergence of the power series for the derivative
a. Choose the correct answer below
6x17 6x29 6x41
O B. -1 6x236x35
3!
Oc, -6x5-6x17 6x29 6x41
2!
4!
6!
3!
Click to select your answer and then click Check Answer.
Transcribed Image Text:9.4.28 Consider the function f(x)-cos (x) a. Differentiate the Taylor series about 0 for f(x) b. ldentify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative a. Choose the correct answer below 6x17 6x29 6x41 O B. -1 6x236x35 3! Oc, -6x5-6x17 6x29 6x41 2! 4! 6! 3! Click to select your answer and then click Check Answer.
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