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Math Help - determine the limits of the following sequences if they exist

  1. #1
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    determine the limits of the following sequences if they exist

    a) an= cos(n(pi)) b) an= sin^-1( )


    c) an= e^(4-n^2)
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  2. #2
    Super Member Gamma's Avatar
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    Quote Originally Posted by tiga killa View Post
    a) an= cos(n(pi)) b) an= sin^-1( )


    c) an= e^(4-n^2)
    a)
    cos((2k)pi)=1
    cos((2k+1)\pi)=-1
    You tell me, could it converge to anything?


    b)what is lim_{n\rightarrow \infty}\frac{2-3n+n^2}{5+2n^2}?
    multiply by \frac{1/n^2}{1/n^2} and see what happens. Hint: you should get 1/2.

    Recall: sin(\pi/6)=1/2


    c)what is what is lim_{n\rightarrow \infty} 4-n^2 ?
    Hint: e^{-x}=\frac{1}{e^x}
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