a. Find a power series representation for the function. f (x) = In(1 – a) b. Use part a. to find a power series for the function. g(x) = x In(1 – a) c. Set x = -1 in your result from part a. to express In 2 as an infinite series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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This is a 3 part question. Please help solve for a, b, c.

a. Find a power series representation for the function.
f (x) = In(1 – a)
b. Use part a. to find a power series for the function.
g(x) = x In(1 – x)
c. Set x = -1 in your result from part a. to express In 2 as an infinite series.
Transcribed Image Text:a. Find a power series representation for the function. f (x) = In(1 – a) b. Use part a. to find a power series for the function. g(x) = x In(1 – x) c. Set x = -1 in your result from part a. to express In 2 as an infinite series.
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