Question
Asked Apr 18, 2019
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8.7.4.   Find the Maclaurin series (i.e., Taylor series about c = 0) and its interval of convergence.

8.74.
Find the Maclaurin series (i.e., Taylor series about c = 0) and its interval of
f(x) = cos2x
Input interpretation
series
cos(2x)
point
x=0
Enlarge^ Data | 8 CustomizeA Plaintext
2x* 4x6
1-2x2 ++O(x7
+0(x)
(Taylor series)
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8.74. Find the Maclaurin series (i.e., Taylor series about c = 0) and its interval of f(x) = cos2x Input interpretation series cos(2x) point x=0 Enlarge^ Data | 8 CustomizeA Plaintext 2x* 4x6 1-2x2 ++O(x7 +0(x) (Taylor series)

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Expert Answer

Step 1

We have to find maclaurin  series and interval of convergence of f(x).

f(x) is given below:

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Step 2

We will use following rules to find maclaurin  series and interval of convergence.

Rules are given below:

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Step 3

Firstly we will find maclaurin series and express in sigma notatio...

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Math

Calculus