Convergence of a sequence (1+2/n)^n leading to a limit of e^2.

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We test for convergence in the sequence (1+2/n)^n in two different ways. First, we compare to the definition of e as the large n limit of (1+1/n)^n by making a substitution. Second, we compute the limit by using a function on the real numbers, taking the log of both sides, and using L'Hopital's rule to deal with an indeterminate form. Either way, the sequence converges to e^2.