Series question

1. Jul 10, 2009

TTob

1. The problem statement, all variables and given/known data
Check if the following series is convergent.
$$\sum^{\infty}_{i=1}l n(cos(\frac{1}{n}))$$

I have tried a lot of different tests without success.
I need some hint.

Thanks

2. Relevant equations

3. The attempt at a solution

2. Jul 10, 2009

tiny-tim

Hi TTob!

Hint: this is ln of a product

3. Jul 10, 2009

g_edgar

Tayor's Theorem