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Homework Statement
Does [itex]\sum[/itex][itex]\frac{k}{1+k^2}[/itex] converge?
Homework Equations
The Attempt at a Solution
What I'm basically doing is using the ratio test. And at the end I get that the limit goes to ∞.
Therefore it it is convergent. But I'm not sure if I'm using the right test or if an other test would be easier.