**Choose the true statements about a convergent series.** - [ ] If a series is absolutely convergent, then it is convergent. - [ ] If a series is not absolutely convergent, then it is divergent. - [ ] If a series is absolutely convergent, then the series may or may not be convergent. - [x] If a series is not absolutely convergent, then the series may or may not be convergent. *Question Source: Sullivan 2e*

Q: Give an example of a divergent alternating series satisfying only Condition (ii) of the Leibniz…

A: Find your answer below.Explanation:Step 1: Condition (ii) of the Leibniz test states that the…

Q: Prove that the Sum of Convergent. Series is ungue

A: prove that sum of convergent series is unique.

Q: 1 is convergent, and find its sum. Show that the series n(n + 1) n=1

A: we have to show that the given series is convergent and then we have to find the sum. ∑n=1∞1n(n+1)

Q: 00 n 2 Does the seriesE (- 1)"n²| | converge absolutely, converge conditionally, or diverge? 3 n= 1…

A: Consider the series ∑n=1∞−1nn223n We have to check whether the given series is converges absolutely,…