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2001 IMC
3
limit - I have no idea how to come up with the idea...
limit - I have no idea how to come up with the idea...
Source: IMC 2001 day 1 problem 3
November 11, 2005
limit
Putnam
integration
real analysis
real analysis unsolved
Problem Statement
Find
lim
t
→
1
−
(
1
−
t
)
∑
n
=
1
∞
t
n
1
+
t
n
\lim_{t\rightarrow 1^-} (1-t) \sum_{n=1}^{\infty}\frac{t^n}{1+t^n}
lim
t
→
1
−
(
1
−
t
)
∑
n
=
1
∞
1
+
t
n
t
n
.
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