Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
The value of
lim
n
→
∞
(
1
n
2
+
1
n
2
+
1
+
⋯
+
1
n
2
+
2
n
)
\lim_{n \to \infty} \left( \frac{1}{\sqrt{n^2}} + \frac{1}{\sqrt{n^2+1}} + \dots + \frac{1}{\sqrt{n^2+2n}} \right)
lim
n
→
∞
(
n
2
1
+
n
2
+
1
1
+
⋯
+
n
2
+
2
n
1
)
is .....
Browse the problem library