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Mathematics
Mathematics
Problem
For which values of
p
p
p
does the series
∑
n
=
2
∞
1
n
(
ln
n
)
p
\displaystyle \sum_{n=2}^{\infty}\frac{1}{n(\ln n)^{p}}
n
=
2
∑
∞
n
(
ln
n
)
p
1
converge? a)
p
>
1
2
p>\dfrac{1}{2}
p
>
2
1
b)
p
>
0
p>0
p
>
0
c)
p
>
1
p>1
p
>
1
d)
p
≥
1
p\ge 1
p
≥
1
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