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9.4.28Consider the function f(x)-cos (x)a. Differentiate the Taylor series about 0 for f(x)b. ldentify the function represented by the differentiated seriesc. Give the interval of convergence of the power series for the derivativea. Choose the correct answer below6x17 6x29 6x41O B. -1 6x236x353!Oc, -6x5-6x17 6x29 6x412!4!6!3!Click to select your answer and then click Check Answer.

Question

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.
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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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Step 1

     To differentiate the Taylor series of  about 0,

first let us differentiate , then find their corresponding series.                 

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Step 2
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Step 3

            &nbs...

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