f(x) = = 1 1 + x for-1 < x < 1. The base point is 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the geometric series and an appropriate change-of-variable to find a power series representation of the given image. Use the first three non-zero terms in the power series for f'(x) to approximate f'(0.5).

f(x) =
1
1+x
for-1 < x < 1. The base point is 0.
Transcribed Image Text:f(x) = 1 1+x for-1 < x < 1. The base point is 0.
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