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Math Help - Cauchy Sequences!

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    Cauchy Sequences!

    If xn = squ(n), show that (xn) satisfies lim |xn+1 - xn| = 0, but that it is not a cauchy sequenc.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by frenchguy87 View Post
    If xn = squ(n), show that (xn) satisfies lim |xn+1 - xn| = 0, but that it is not a cauchy sequenc.
    The first part is trivial. For the second part note that x_{4n}-x_n=\sqrt{n}
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