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Mathematics
Mathematics
Problem
For which real numbers
k
k
k
does the series
∑
n
=
0
∞
(
k
5
)
n
\displaystyle \sum_{n=0}^{\infty} \left(\frac{k}{5}\right)^{n}
n
=
0
∑
∞
(
5
k
)
n
converge?
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