Question: (a) Show that the integral 2 1 / x ( l n x ) q d x converges for q>1 and diverges for q 1.

(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)

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