Suppose C > 1 and Sn = C^(1/n). Show that 1 < Sn and Sn+1 < Sn(assume the contrary in each case, and deduce a contraduction). Hense lim n->oo Sn exists. Denote the limit by r. Why is r >= 1? Prove that r = 1 by showing that r > 1 leads to the contradiction that 1/c < = 0.
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