Given the series:

∑k=1∞ 5k\displaystyle {\sum_{{{k}={1}}}^{{\infty}}}\ \frac{{5}}{{k}}


does this series converge or diverge?
If the series converges, find the sum of the series:

∑k=1∞ 5k=\displaystyle {\sum_{{{k}={1}}}^{{\infty}}}\ \frac{{5}}{{k}}=  
(If the series diverges, just leave this second box blank.)

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