Hi everybody :)

I'm trying to solve this limit

$\displaystyle \lim_{x\to\infty}e^x cos(x)$

Since $\displaystyle \lim_{x\to\infty}e^x = \infty$

and $\displaystyle \lim_{x\to\infty}cos(x)$ is a Real number in $\displaystyle [-1,1]$

is it correct to say that the solution is $\displaystyle \infty$?

Thank you for your help :)