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Math Help - Proof of Infinite Limit

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    Proof of Infinite Limit

    I missed the classes where we learned these and I'm trying to do some practice, but I can't find any examples with solutions, can anyone please explain how to do either of the following:
    1. prove by definition that lim as n tends to infinity(-n^2 + 10n + 100)=-infinity
    2.let {xn}n tends to infinity and {yn}n tends to infinity be two convergent (in R) sequences such that xn>or=yn for all natural numbers n. Show that:

    as both tend to infinity lim xn>or=lim yn
    Last edited by amm345; November 13th 2009 at 05:15 AM.
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