Does the series of cos (1/n) converge or diverge ? please explain it would be really helpful.

Question

anonymous · Answer

cosine is continuous right?

anonymous · Answer

i assume you mean "sequence" here, not series
unless you are adding

anonymous · Answer

so 
$$\lim_{n\to \infty}\cos(\frac{1}{n})=\cos(\lim_{n\to \infty}\frac{1}{n})=\cos(0)=1$$

anonymous · Answer

if it is in fact 
$$\sum_{n=1}^{\infty}\cos(\frac{1}{n})$$ then that is a totally different story, and i would have to do some thinking

anonymous · Answer

oh, no i wouldn't
the terms do not go to zero, they go to one
so no chance it converges

anonymous · Answer

it is the sum of of cos (1/n)

anonymous · Answer

ok then see answer above
the terms do not even go to zero, they get closer and closer to 1
so the sum cannot converge

anonymous · Answer

clear or no?

anonymous · Answer

Yea I understand. Thanks so much

anonymous · Answer

yw

anonymous · Answer

i have no idea?.? sorrry