20. Let

be an alternating series for which each an > 0 and the limit of an as n goes to infinity is equal to zero. Which of the following conditions is sufficient to guarantee that S converges?

 

A.

B.

C.

D.

E.

 

Solution: The answer is B

 

If S is an alternating series for which each an > 0 and the limit of an as n goes to infinity is equal to zero. Then by the Alternating Series Test the only other condition required to guarantee that S converges is that,