Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent.
Whether the given series is absolutely convergent, conditionally convergent or divergent.
Use the alternating series test, definition of absolutely convergent series and conditionally convergent series.
2) Alternating series test:
If the alternating series
(i) for all
then the series is convergent.
a) Absolutely convergent series:
A series is called absolutely convergent when the series of absolute values is convergent.
b) Conditionally convergent series:
A series is called conditionally convergent when it is convergent but not absolutely convergent.
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