a Converges tends to zero and its series diverges b Converge

(a) Converges, tends to zero, and its series diverges?

(b) Converges, tends to a non-zero value, and its series converges?

(c) Diverges, and its series converges?

Solution

a) it is possible .one example is the sequence 1/n b. it is not possible. if the series is it converge then the sequence should tend to zero c. it is not possible d. it is possible .one example is the sequence 1/n e. it is not possible. if the sereis is it coverge then the sequence should tend to zero