6.2 Series with Nonnegative Terms 1.

(c) If p > 1, are there constants C > 0 and q > 1 such that log k/kP :::; Ck-q?

2.

(a) No, you cannot apply the p-Series Test to k1-1/k because the exponent p :=

(1 - l/k) is NOT constant, but depends on k.

(d) Try the Integral Test.

3. It converges when p > 1 and diverges when 0 :::; p :::; 1.

5. See Exercise 7 in Section 4.4.

9. It diverges when 0 < q :::; 1 and converges when q > 1.