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## Homework Statement

Let

Determine whether the following series converges:

## Homework Equations

-1 [tex]\leq[/tex] [tex]\sigma[/tex]

_{k}[tex]\leq[/tex] 1

## The Attempt at a Solution

i feel like the series inherently diverges because of the 1/k element. also,

_{k}and 1/k series both diverge, it makes sense to me that the above series would also diverge. could someone help me make this less intuitive and find a more direct approach?