(a) Show that the integral21/x(lnx)qdx converges for q>1 and diverges for q 1.

(b) Use the result of part (a) to state a "Q test" fork=21/k(lnk)q

29. (a) Show that the integral dx converges for q>1 and diverges for q s 1. X' (In x) 9 (b) Use the result of part (a) to state a "Q test" for k=2 k . (In k)