# Divergence time

#### idontknow

Which one diverges faster ?
$$\displaystyle s_1 =\sum_{i=1}^{\infty } \dfrac{1}{i}$$ and $$\displaystyle s_2 =\sum_{i=1}^{ \infty } \dfrac{1}{\sqrt{i}}$$.

Last edited:

#### romsek

Math Team
The magnitude of each sum is identical for every index. They diverge at the same rate.

idontknow