Test series (1-cos(1/k))/k for convergence/divergence?

[khobbs2]

How can I show whether this series converges or diverges?
It is the series from 1 to infinity of (1-cos(1/k))/k

 

[Deleted member 4993]

How can I show whether this series converges or diverges?
It is the series from 1 to infinity of (1-cos(1/k))/k

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

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