Determine the first three non-zero terms in the Maclaurin series for einz

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Can someone help me solve problem 4?

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For the next three exercises, use power series operations to determine the Maclaurin series for the
function.
1
2
(1-x)³
2 x arctan(x²)
3 In(1+x) - In(1-x)
4 Determine the first three non-zero terms in the Maclaurin series for esin
5 Determine the first three non-zero terms in the Maclaurin series for cos(√x) + ln(cos x).
Transcribed Image Text:For the next three exercises, use power series operations to determine the Maclaurin series for the function. 1 2 (1-x)³ 2 x arctan(x²) 3 In(1+x) - In(1-x) 4 Determine the first three non-zero terms in the Maclaurin series for esin 5 Determine the first three non-zero terms in the Maclaurin series for cos(√x) + ln(cos x).
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