# Math Help - Fonction continuous

1. ## Fonction continuous

Find the function continuous f ,know that :
$\mathop {\lim }\limits_{x \to + \infty } \left( {\frac{{f\left( {x + \frac{1}{x}} \right)}}{{f\left( x \right)}}} \right) = 3........\left( {x > 0} \right)$

2. 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.

3. Originally Posted by Opalg
Hint: try $f(x) = e^{kx^2}$ for a suitable value of k.
Hello: Thank you....
Are you the details?