# Sequences and limits

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Establish the convergence and find the limits of the following sequences

((1+1/2n)^n))

((1+1/n^2)^(2(n^2)))

((1+2/n)^n))

Give an example of a convergent sequence Xsubn of positive numbers with lim(Xsubn^1/n)=1

Give an example of a divergent sequence Xsubn os positive numbers with lim(Xsubn^1/n)=1

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##### Solution Summary

This provides an example of finding convergence and limits for sequences, and giving sequences with given limits.

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