Comparison Test

Examples 4.2.4(b):

The series diverges.

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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.
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