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zeion

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## Homework Statement

Determine whether the series converges or diverges.

[tex] \sum \frac{lnk}{k^3} [/tex]

## Homework Equations

## The Attempt at a Solution

Since lnk always less than 0, so [tex] \frac{lnk}{k^3} \leq \frac{1}{k^3}[/tex] and [tex]\frac{1}{k^3} [/tex]diverges so[tex] \frac{lnk}{k^3}[/tex] diverges.