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Mathematics
Problem
A positive-term series has general term
a
n
a_n
a
n
satisfying
lim
n
→
∞
n
5
/
4
a
n
=
9
\displaystyle \lim_{n\to\infty} n^{5/4} a_n = 9
n
→
∞
lim
n
5/4
a
n
=
9
. What can you conclude about the convergence of
∑
n
=
1
∞
a
n
\displaystyle \sum_{n=1}^{\infty} a_n
n
=
1
∑
∞
a
n
?
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