Interactive Real Analysis
- part of Examples 4.2.12(c):
The series 
diverge.
Back
diverge.
Back
We will use the limit comparison test, together with the p-series test. First, note that
Hence, by the limit comparison test, the two series
and
have the same convergence behavior. But the second series is a p-series with p = 1/2, so it diverges by the p-series test. Hence, the original series also diverges.1 /
