Chapter 10.5, Problem 50E

If the series (-1)"a, is convergent and the seies is convergent then n=1 n=1 00 we said the series >(-1)"a, is n=1 (a) conditionally convergent (b) absolutely convergent (c) None

(-1)* /ī Given the series E " determine if the series converges conditionally, converges absolutely or diverges and select the test used to make your decision. Select the correct choice from each dropdown.

Give an example of an increasing sequence {an} that converges to 12. What can you conclude about the series En=1an? (Does it converge or diverge?) Give an example of a series that converges to 12. What can you conclude about the sequence {an}? (Does it converge or diverge?)