Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
n
+
2
−
n
n
\displaystyle \sum_{n=1}^{\infty} \frac{\sqrt{n+2}-\sqrt{n}}{n}
n
=
1
∑
∞
n
n
+
2
−
n
converges or diverges. State your conclusion and the
p
p
p
-value of the dominating
p
p
p
-series.
Browse the problem library