Question 2. Let p 2 1 and q be real numbers. (a) Show that there is some positive integer No such that (In(a)) TP is decreasing for = > No. (b) Show that In(L) (In(@))" dx = lim TP The(l p)de. 1-100 / In( No) (c) When p = 1, for what values of q, the series (In(n))? 71 2 np is convergent. (d) When p > 1, for what values of q, the series (In(n)) 72 2 np is convergent