given a(n) = (1+2/n)^n...the answer to whether the sequence converges or diverges is e^2...how do i do this? secondly, the sequence given is (cos n)^2/(2^n)..how to find the limits?
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Originally Posted by serenalee given a(n) = (1+2/n)^n...the answer to whether the sequence converges or diverges is e^2...how do i do this? secondly, the sequence given is (cos n)^2/(2^n)..how to find the limits? 1. $\displaystyle \lim_{n \rightarrow + \infty} \left( 1 + \frac{x}{n} \right)^n = e^x$ is a well known limit. 2. Note that $\displaystyle \cos n$ is bounded ....
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