Question: 1.12. Let 9O{X1 = k} = Pb 1 < k < .e, L~=1 Pk = 1. Let N(n, w) be the number of values of

1.12. Let 9O{X1 = k} = Pb 1 < k < .e, L~=1 Pk = 1. Let N(n, w) be the number of values of j, 1 < j < n, for which X} k and Prove that lI--+OC n

1 lim -log IICn , w) exists a.e.

and find the limit. [This is from information theory.]

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