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Exercise 1. Suppose (a_n) is a sequence and f : N --> N is a bijection....

Exercise 1. Suppose (a_n) is a sequence and f : N --> N is a bijection. Let (b_n) be the sequence where b_n = a_f(n) for all n contained in N. Prove that if a_n converges to L, then b_n also converges to L.

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