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Mathematics
Problem
Briefly explain why convergence of the series
∑
n
=
1
∞
∣
a
n
∣
\sum_{n=1}^{\infty} |a_n|
∑
n
=
1
∞
∣
a
n
∣
guarantees convergence of the series
∑
n
=
1
∞
a
n
\sum_{n=1}^{\infty} a_n
∑
n
=
1
∞
a
n
.
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