Let $x_1,x_2,x_3...$ be all consecutive positive roots of the equation $\tan x = x.$ Find $\lim_{n \rightarrow \infty}(x_n-x_{n-1}).$
$x_n$ is the $n$'th positive solution to $x=\tan(x)$. Find $\lim_{n\to\infty}\left(x_n-x_{n-1}\right)$