# Fonction continuous

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• October 15th 2009, 01:37 AM
dhiab
Fonction continuous
Find the function continuous f ,know that :
$\mathop {\lim }\limits_{x \to + \infty } \left( {\frac{{f\left( {x + \frac{1}{x}} \right)}}{{f\left( x \right)}}} \right) = 3........\left( {x > 0} \right)$
• October 15th 2009, 06:06 AM
Opalg
Quote:

Originally Posted by dhiab
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.
• October 15th 2009, 07:52 AM
dhiab
Quote:

Originally Posted by Opalg
Hint: try $f(x) = e^{kx^2}$ for a suitable value of k.

Hello: Thank you....
Are you the details?