Question 6 (a) Use the Maclaurin series, In(1 + x) = =x- ²+²-1+ 2 3 4 X to derive the series expansion for 1+x² expansion in the summation notation. Σ=1(−1)n+1x² n (-1 < x < 1). Write down the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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Question 6
(a) Use the Maclaurin series,
In(1 + x) = x - -22² +2²-2²-
x3
3
4
to derive the series expansion for
expansion in the summation notation.
=
x
1+x²
Σno=1(−1)n+1 x²,
(−1 < x < 1). Write down the
Transcribed Image Text:Question 6 (a) Use the Maclaurin series, In(1 + x) = x - -22² +2²-2²- x3 3 4 to derive the series expansion for expansion in the summation notation. = x 1+x² Σno=1(−1)n+1 x², (−1 < x < 1). Write down the
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