Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine whether the series
∑
n
=
3
∞
n
(
n
2
−
1
)
ln
n
\displaystyle \sum_{n=3}^{\infty} \dfrac{n}{(n^{2}-1)\,\ln n}
n
=
3
∑
∞
(
n
2
−
1
)
ln
n
n
meets the prerequisites for analysis via an improper integral. Provide a concise justification.
Browse the problem library