Backpacking off my previous question, Finding root of function, possible Lambert function?, of finding the root of the following equation:
$c_1-\frac{2}{c_2}(x+2)e^{-x/2}=0$,
Where $0<c_1\le1$ and $2<c_2<\infty$
It can be reduced into the following Lambert form:
$x=-2(1+W(\frac{-c_1c_2}{4e})$
The only problem is that on Wikipedia it states that
so The Lambert function works only if $x\ge -1/e$, but my lambert function, $W(\frac{-c_1c_2}{4e})$, where $\frac{-c_1c_2}{4e}$ can be extremely small (negative) as $c_2->\infty$, so how could I actually solve for my Lambert function then?