True-False Quiz Question 14: Two Divergent Series Can Form a Convergent Series
In this video I show that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually diverge to infinity or negative infinity, summing them up involves all terms canceling out and converging to n - n = 0. Thus the answer to the question is False, that is, the sum of 2 divergent series is not necessarily also divergent.
Time stamps:
- Question 14: 0:00
- Solution: False: 0:14
- Example of 2 divergent series summing to form a convergent series: 0:25
Full video below:
- Infinite Sequences and Series: Review and True-False Quiz:
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