## Examples 4.2.4(b):

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:

for all1 / n < 1 / (n-1)

*n*. Hence

Therefore, the series diverges.=