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Thread: Quick Sequence Limit Question

  1. December 9th 2010, 06:35 PM #1
    Warrenx
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    Quick Sequence Limit Question

    if Limit (n-->inf) of a(sub n) = 4, does Limit (n--> inf) (a(sub n))^2 = 4^2 ?

    Sorry its not in latex, had to make it quick
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  2. December 9th 2010, 06:38 PM #2
    dwsmith
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    \displaystyle \lim_{n\to\infty}a_n^2=\lim_{n\to\infty}a_n*\lim_{ n\to\infty}a_n=4*4=4^2
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  3. December 9th 2010, 07:33 PM #3
    Warrenx
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    Quote Originally Posted by dwsmith View Post
    \displaystyle \lim_{n\to\infty}a_n^2=\lim_{n\to\infty}a_n*\lim_{ n\to\infty}a_n=4*4=4^2
    Hmmm. That was emberrassing. Thanks
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