Tricky convergence or divergence problem

[redscooterce]

How would you prove if the following series is convergent or divergent? I can't even think of which test to start with. Please let me know as soon as you can! I know some of you guys are up for the challenge!

Convergent or divergent?

Prove that the series, cos(n)/n^(3/4), is convergent or divergent.

Please share your thoughts! Thanks!

 

[tkhunny]

\(\displaystyle \cos(n) \le 1\)