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    a counterexample

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    1. (a) Prove that if = ¥ then = 0
    (b) Give a counterexample to show that the converse (if = 0 then
    = ¥) is false.
    2. Give an example of a sequence {an} satisfying all of the following:
    {an} is monotonic
    0 < an < 1 for all n and no two terms are equal
    =

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    1. (a) Prove that if = ¥ then = 0
    Proof: Suppose Let be given. Then there exists a positive integer such that Since there exists a positive ...

    Solution Summary

    A counterexample is exemplified.

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