University of Florida/Egm4313/s12.team11.gooding/R3

Problem 3.7

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Solved By Kyle Gooding

Problem Statement

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Expand the series on both sides of (1),(2) pg. 7-12b to verify these equalities.
(1)

Given

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(2)
 

Solutions

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Expanding both sides of (1) results in:
 
 


Simplifying:
 
 

 The two sums are equal.

Expanding both sides of (2) results in:
 
 

Simplifying:
 
 

 The two sums are equal.

Egm4313.s12.team11.gooding 23:49, 19 February 2012 (UTC)