Proof Suppose that and are series with positive terms. Prove that if
and diverges, then also diverges.
To prove: If and diverges then diverges.
The summations and are positive series. And and diverges.
Direct comparison test.
Let for all .
1) If converges then converges.
2) If diverges then diverges.
To prove diverges, take statement
Means that for each positive number M, there exist such that whenever
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