Does the series n=8 1n\displaystyle {\sum_{{{n}={8}}}^{{\infty}}}\ \frac{{1}}{{n}} converge or diverge?


Does the series n=8 (1)nn\displaystyle {\sum_{{{n}={8}}}^{{\infty}}}\ \frac{{\left(-{1}\right)}^{{n}}}{{n}} converge or diverge?