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Mathematics
Problem
Explain in one sentence why
lim
n
→
∞
a
n
=
0
\displaystyle\lim_{n\to\infty} a_n=0
n
→
∞
lim
a
n
=
0
is a necessary condition for the infinite series
∑
n
=
1
∞
a
n
\sum_{n=1}^{\infty} a_n
∑
n
=
1
∞
a
n
to have any chance of converging.
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