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    Null and convergent sequences

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    Please show all the work.

    (a) Use the definition of a null sequence to prove that the sequence {an} given by

    an = (-1)^(n+1) / (n^3 - 3) , n = 1, 2, ...

    is null.

    (b) Determine whether or not each of the attached sequences {an} converges. Find the limit of each convergent sequence.

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    Solution Summary

    Null and convergent sequences are exemplified.