If
∑
n
=
1
∞
a
n
x
n
\displaystyle {\sum_{{{n}={1}}}^{{\infty}}}{a}_{{n}}{x}^{{n}}
n
=
1
∑
∞
a
n
x
n
converges then
a
n
x
n
→
0
\displaystyle {a}_{{n}}{x}^{{n}}\to{0}
a
n
x
n
→
0
as
n
→
∞
\displaystyle {n}\to\infty
n
→
∞
.
False
True
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