- #1
erjkism
- 54
- 0
Homework Statement
[tex]\Sigma\frac{sin(n)}{n}[/tex]
from n=1 to infinity
i have to show that this series converges, but that it doesn't converge absolutely.
Homework Equations
the thing is, I figured th
The Attempt at a Solution
if you say that the top of the equation is -1<sin(n)<1, you can then take the absolute value to get 0<sin(n)<1. so then the equation can look like this:
[tex]\Sigma\frac{1}{n}[/tex] from n=1 to infinity, which is a divergent series. i just don't know how to show that the original equation is convergent.