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18
18
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #18: Infinite trigonometric sum
Source:
10/12/2014
What is the value of
∑
n
=
1
∞
(
tan
−
1
n
−
tan
−
1
n
+
1
)
\sum_{n=1}^\infty (\tan^{-1}\sqrt{n}-\tan^{-1}\sqrt{n+1})
∑
n
=
1
∞
(
tan
−
1
n
−
tan
−
1
n
+
1
)
?
trigonometry
limit