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Science
:
Math Exam Resources/Courses/MATH220/December 2010/Question 10 (c)/Statement
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From UBC Wiki
<
Science:Math Exam Resources
|
Courses/MATH220
|
December 2010
|
Question 10 (c)
Using
(a)
and
(b)
prove that
∑
n
=
1
∞
1
4
n
2
−
1
=
1
2
.
{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{4n^{2}-1}}={\frac {1}{2}}.}