I know that $\displaystyle \sum_{n=1}^{\infty}\frac{1}{n}$ diverges, but does $\displaystyle \sum_{n=k}^{\infty}\frac{1}{n}$ diverge for any $\displaystyle k > 1$? It's been a while since I've dealt with series.
I know that $\displaystyle \sum_{n=1}^{\infty}\frac{1}{n}$ diverges, but does $\displaystyle \sum_{n=k}^{\infty}\frac{1}{n}$ diverge for any $\displaystyle k > 1$? It's been a while since I've dealt with series.