Question: Problem 30. Let { Xn } be a convergent sequence in R with lim, In = x. (a) Define x1 + x2 + ... +xn

Problem 30. Let { Xn } be a convergent sequence in R with lim, In = x. (a) Define x1 + x2 + ... +xn an = n Prove that limn an = X. (b) If {yn} is a bounded sequence and x = 0, prove that limn Xnyn = 0

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