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