(12) - Σ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Subtract the infinite series of ln(1 x) from ln(1 + x) to get a power series for:
In
mn ( 1 + 7 ) = £
- x
n=1
Evaluate this power series at x =
In(2)= =
00
n=1
ㅎ
to get
What is the smallest N such that the Nth partial sum of this series approximates In (2) with an error less
than 0.001?
Number of terms needed is:
Transcribed Image Text:Subtract the infinite series of ln(1 x) from ln(1 + x) to get a power series for: In mn ( 1 + 7 ) = £ - x n=1 Evaluate this power series at x = In(2)= = 00 n=1 ㅎ to get What is the smallest N such that the Nth partial sum of this series approximates In (2) with an error less than 0.001? Number of terms needed is:
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