Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine all real numbers
p
p
p
for which the series
∑
n
=
2
∞
(
ln
n
)
2
n
p
\displaystyle \sum_{n=2}^{\infty} \frac{(\ln n)^2}{n^{p}}
n
=
2
∑
∞
n
p
(
ln
n
)
2
converges.
Browse the problem library