Interactive Real Analysis
- part of Examples 4.2.4(b):
The series 
diverges.
Back
diverges.
Back
This looks similar to the harmonic series. In fact:
n > n - 1, so that 1/n < 1/ (n-1).
But the harmonic series
diverges to positive infinity, hence the above series also
diverges.
Note that we could state this argument as follows:
1 / n < 1 / (n-1)for all n. Hence
Therefore, the series diverges.=
