Example:
The series
diverges.
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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(bgw)
=
diverges.
diverges to positive infinity, hence the above series also
diverges.
=
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Glossary |
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