Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Q1. Please explain every step, step by step, clearly, detailed solutions. 

1
1. The geometric series >a" (for |x| < 1) is particularly useful, as its sum,
be related to
can
1- x
n=0
other functions. Using this, find a power series (centred at 0) representation of arctan(x),
and determine the x-values for which this is valid. Hint: integrating or differentiating may be
required.
many
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Transcribed Image Text:1 1. The geometric series >a" (for |x| < 1) is particularly useful, as its sum, be related to can 1- x n=0 other functions. Using this, find a power series (centred at 0) representation of arctan(x), and determine the x-values for which this is valid. Hint: integrating or differentiating may be required. many
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