Answer
$\displaystyle \lim_{x\rightarrow+\infty}f(x)=$0
Work Step by Step
Evaluating the function for some large positive values of x, we build a table
(see screenshot, desmos calculator used)
f(x) is approaching the value L=0 as x$\rightarrow \infty$,
It seems that a limit exists
$\displaystyle \lim_{x\rightarrow+\infty}f(x)=$0
