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2013 VTRMC
Problem 7
Infinite Sum
Infinite Sum
Source:
July 27, 2016
calculus
Problem Statement
Evaluate
∑
n
=
1
∞
n
(
2
n
−
2
−
n
)
2
+
(
−
1
)
n
n
(
2
n
−
2
−
n
)
2
\sum_{n=1}^\infty \frac{n}{(2^n-2^{-n})^2}+\frac{(-1)^nn}{(2^n-2^{-n})^2}
∑
n
=
1
∞
(
2
n
−
2
−
n
)
2
n
+
(
2
n
−
2
−
n
)
2
(
−
1
)
n
n
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