Explore BrainMass
Share

Explore BrainMass

    Proof of Zero Test for Sequences

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

    Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.

    Prove and answer if it is still true if we replace zero in the statement above by some other number.

    © BrainMass Inc. brainmass.com October 10, 2019, 4:42 am ad1c9bdddf
    https://brainmass.com/math/discrete-math/proof-zero-test-sequences-473465

    Solution Summary

    The solution provides proof of zero test for sequences.

    $2.19