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    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

    © BrainMass Inc. brainmass.com March 6, 2023, 10:10 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/sequences-limits-238692

    Solution Summary

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

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