MathDB
Problems
Contests
Undergraduate contests
Putnam
1988 Putnam
A3
A3
Part of
1988 Putnam
Problems
(1)
Putnam 1988 A3
Source:
8/6/2019
Determine, with proof, the set of real numbers
x
x
x
for which
∑
n
=
1
∞
(
1
n
csc
1
n
−
1
)
x
\sum_{n=1}^\infty \left( \frac{1}{n} \csc \frac{1}{n} - 1 \right)^x
n
=
1
∑
∞
(
n
1
csc
n
1
−
1
)
x
converges.
Putnam