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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.