Question asks to evaluate sum from 1 to infinity of n*cos(1/n) over (2n+1) --> I am not sure how to do this. I tried simplifying it to n/(2n+1) since the cos term is approaching 1 as n --> infinity. If i take the limit for that i get 1/2, so I concluded the series diverges. --> but the bottom term is bigger than the top term, so why wouldn't it converge? Thank you(it has been a while since I learned this so I am a bit confused).