Question: 4. [5 marks] Define a sequence by setting a1 = 4 and anti = V2an + 1, n 2 1. a) If {an} does converge,

4. [5 marks] Define a sequence by setting a1 = 4 and anti = V2an + 1, n 2 1. a) If {an} does converge, what must the value of the limit L be? b) Prove that for L 1. c Prove that fan o In=1 converges. (Be careful to say which theorem (s) you are using!)

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