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Mathematics
Mathematics
Problem
For
k
>
0
k>0
k
>
0
, consider the series
∑
n
=
1
∞
k
n
n
\displaystyle\sum_{n=1}^{\infty}\frac{k^{\,n}}{n}
n
=
1
∑
∞
n
k
n
. Identify all real values of
k
k
k
for which the series converges.
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