Question
Subtract the infinite series of ln(1 – x) from In(1 + x) to get a power series for:
+ x
Σ
In
%3D
n=1
1
to get
Evaluate this power series at x =
In(2) = E
n=1
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:

Image Transcription

Subtract the infinite series of ln(1 – x) from In(1 + x) to get a power series for: + x Σ In %3D n=1 1 to get Evaluate this power series at x = In(2) = E n=1 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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Tagged in
MathCalculus

Functions