Question

.... Let n an entl divergent ? a) an True os false b) an TS Convergent , divergent of con't be conch n=0

Answer 1

(a). The correct answer is  True.

Note that the sequence (a_{n}) momotically increasing and it is not bounded above. Hence the sequence diverges to infinity.

(b). The series diverges to infinity.

Note that given series is a series of positive terms. Hence it either converges to a real number of diverges to infinity. For any convergent series the nth term tends to zero as n tends to infinity. Here the nth term does not tend to zero. Therefore , we get , the series diverges to infinity.