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Telescoping Method & Partial Fractions...PLEASE HELP!
Find the sum of the series from n=1 to infinity...
2/(4n^2-1)
I want to use the telescoping method...
2/(4n^2) = 2/[(2n-2) * (2n+1)]
I am following an example in my book and this is where I don't know what they did next...but they got
An = 1/(2n-1) - 1/(2n+1)
Homework Statement
Find the sum of the series from n=1 to infinity...
2/(4n^2-1)
Homework Equations
The Attempt at a Solution
I want to use the telescoping method...
2/(4n^2) = 2/[(2n-2) * (2n+1)]
I am following an example in my book and this is where I don't know what they did next...but they got
An = 1/(2n-1) - 1/(2n+1)