Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The integral
∫
1
∞
1
x
d
x
\int_1^{\infty} \frac{1}{x}\, dx
∫
1
∞
x
1
d
x
diverges. In one or two sentences, explain why this occurs even though
1
/
x
→
0
1/x \to 0
1/
x
→
0
as
x
→
∞
x \to \infty
x
→
∞
.
Browse the problem library