Question: Plz help me with the question Problem 3. (15 points) Let (5) be the sequence given by 51 = g and sn+1 = 5n 3%,

Plz help me with the question

Problem 3. (15 points) Let (5\") be the sequence given by 51 = g and sn+1 = 5n 3%, for every n E N. Let (tn) be a sequence such that ti S 8%, for every n E N. (a) (5 points) Use induction to prove that sn 6 (0, 1), for every n E N. (b) (5 points) Prove that lim 3n = 0. (c) (5 points) Prove that lim tn = 0

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