Explore BrainMass

Explore BrainMass

    Sequences and limits

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 November 30, 2021, 3:10 am 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.

    $2.49

    ADVERTISEMENT