r1/2 dr 4) . 7-I+1¯ 3v3 (a) (b) By factoring r+1 as a sum of cubes, rewrite the integral in (a). Then express 1/(r+1) as the sum of a power series and use it to show that 3/3 (-1)" 8" 3n +1 3n + 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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1/2
dr
%3D
22 – r +1
3/3
(b) By factoring ³+1 as a sum of cubes, rewrite the integral in (a). Then express 1/(r+1) as the
sum of a power series and use it to show that
3V3
2
1
3n +1
3n + 2
n=0
Transcribed Image Text:1/2 dr %3D 22 – r +1 3/3 (b) By factoring ³+1 as a sum of cubes, rewrite the integral in (a). Then express 1/(r+1) as the sum of a power series and use it to show that 3V3 2 1 3n +1 3n + 2 n=0
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