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## Homework Statement

Does the following series converge or diverge? give reasons for your answers.

[tex]\Sigma[/tex](ln(n))^3/n^3

## Homework Equations

Is the direct comparison test appropriate for this question? limit comparison? I have issues with the direct comparison when attempting to compare to the harmonic series, and limit comparison doesn't seem to yield a very simple solution either.

## The Attempt at a Solution

I attempted to show that the series above is greater than the series ln(n)/n, which is greater than 1/n, the harmonic series. this is apparently not the case, however, as made evident by my graphing calculator on window -1<x<10 & -2<y<2.