9. (a) Let an > 0 for n EN. Set b1 = 0, b2 = log(a2/ar), and

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9.

(a) Let an > 0 for n EN. Set b1 = 0, b2 = log(a2/ar), and k = 3,4, ....

Prove that if 1. an r= 1m--

exists and is positive, then n (k-1) 00 lim log(a;(n) = lim L 1--- bk = Lbk = logr.

n_oo n-oo n k=l k=l

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