# Expansion of $f(x) = \frac 1x$ [closed]

Is there any type of expansion for the function $f(x) = \frac{1}{x}$ that converges for all $x \ge 2$ ?

I understand why Taylor-related series won’t do the work, but I wonder if there is another way of expanding a function that would.

By the way, I’m not considering the trivial Laurent series $l(x) = \frac 1x$