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Math Help - Fonction continuous

  1. #1
    Super Member dhiab's Avatar
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    Fonction continuous

    Find the function continuous f ,know that :
    \mathop {\lim }\limits_{x \to + \infty } \left( {\frac{{f\left( {x + \frac{1}{x}} \right)}}{{f\left( x \right)}}} \right) = 3........\left( {x > 0} \right)
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  2. #2
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    Opalg's Avatar
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    Quote Originally Posted by dhiab View Post
    Find a continuous function f such that :
    \mathop {\lim }\limits_{x \to + \infty } \left( {\frac{{f\left( {x + \frac{1}{x}} \right)}}{{f\left( x \right)}}} \right) = 3........\left( {x > 0} \right)
    Hint: try f(x) = e^{kx^2} for a suitable value of k.
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  3. #3
    Super Member dhiab's Avatar
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    Quote Originally Posted by Opalg View Post
    Hint: try f(x) = e^{kx^2} for a suitable value of k.
    Hello: Thank you....
    Are you the details?
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