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Do not use binomial theorem for this!! (Real analysis question) a) Let (sn) be the sequence...

Do not use binomial theorem for this!! (Real analysis question)

a) Let (sn) be the sequence defined by sn = (1 +1/n)^(n). Prove that sn is an increasing sequence with sn < 3 for all n. Conclude that (sn) is convergent. The limit of (sn) is referred to as e and is used as the base for natural logarithms.

b)Use the result above to find the limit of the sequences: sn = (1 +1/n)^(2n)

c)sn = (1+1/n)^(n-1)

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