Divergence time

Dec 2015
972
128
Earth
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
Sep 2015
2,875
1,608
USA
The magnitude of each sum is identical for every index. They diverge at the same rate.
 
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