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Apr3-12, 01:11 AM
P: 96
1. The limit of (1+ 1/n)^n as n goes towards infinity is e. Since the question asks (1+ 1/n)^2n the answer is e^2.

Just take the limit of (1+ 1/n)^2n as n goes towards infinity.

2. the limit as arctan(n) goes to inifinity is infinity, thus arctan(n) diverges.