Mini quiz #2

(Sept.25.2000)

  1. Find the sum of .(Do not simplify your answer.)

    2. Solution:

  2. It is known that converges. Find
.

Solution: since converges.

3. True or false ? (Do not justify your answer).

(a) If converges then converges. True

(b) If converges then converges. True

(c) If then converges. False

(d) If and diverges then diverges. False

(e) If all are positive and if then True

5.Which of the following series diverges ?

(a) , (b) , (c) . Do not justify. (a) and (c).