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Math Help - [SOLVED] hmm studyin for final stuck on this help plz

  1. #1
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    [SOLVED] hmm studyin for final stuck on this help plz

    this is far as i got.. how can i finish this?




    i m having a problem with that n!
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    this is far as i got.. how can i finish this?




    i m having a problem with that n!
    You made a slight error. It should be \lim_{n\to\infty}\left|n(2x-1)\right|. Now this is obviously not less than one except for the value of x such that 2x-1=0. You could also notice in the beginning that the factorial will dominate the exponential regardless of the base and cause \lim_{n\to\infty}n!(2x-1)^n to diverge to infinity for any value of x.
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  3. #3
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    Quote Originally Posted by Mathstud28 View Post
    You made a slight error. It should be \lim_{n\to\infty}\left|n(2x-1)\right|. Now this is obviously not less than one except for the value of x such that 2x-1=0. You could also notice in the beginning that the factorial will dominate the exponential regardless of the base and cause \lim_{n\to\infty}n!(2x-1)^n to diverge to infinity for any value of x.

    wow i appreciate it bro thanks man!
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