Use the Comparison Test to determine whether the series is convergent or divergent.

Question

On top of the summation sign (∑) is infinity. Under the summation sign is n=1, and right next to it (to the right of ∑ sign) is cos^2n/n^2.

How would I compare them and come to the conclusion they are convergent with n grater or less than 1?

Answer 1

well sum of 1/n^2 converges, and cos^2(n)/n^2 <= 1/n^2