Classify whether this series convergessum_(k = 1)^oo ((-1)^k xx k)

Zoe Oneal 2021-08-18 Answered

Classify whether this series converges k=1(1)k×k6k4+1

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Expert Answer

Ayesha Gomez
Answered 2021-08-19 Author has 104 answers

k=1(1)k×k6k4+1
ak=k6k4+1
bk=k6k4+1
1) bk0
2) limk+0k6k4+1=0
Then, by alternative series test we can converge.
The term of series are alternative and limit of absolute value is 0, so series converge by alternative series test.

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