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Math Help - limits

  1. #1
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    limits

    Find all the values of the constant k, such that the limit shown below exists

    lim (3^kx)+6
    (x->infinity) (3^2x) +4
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  2. #2
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    Re: limits

    Quote Originally Posted by tarakelly View Post
    Find all the values of the constant k, such that the limit shown below exists

    lim (3^kx)+6
    (x->infinity) (3^2x) +4
    Let's be clear.
    The problem should read {\lim _{x \to \infty } \frac{{3^{kx}  + 6}}{{3^{2x}  + 4}}}~?
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  3. #3
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    Re: limits

    Quote Originally Posted by sbhatnagar View Post
    To solve \lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{kx}+4} ,use L Hopital's rule.
    BUT it is not \lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{kx}+4}

    It is \lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{2x}+4}
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