By a hill function I mean a function such as $x^n/(K^n + x^n)$, where n is a real number smaller or greater than 1 up to around 10. Another way is to define a hill function is $\tanh((x/a)^n)$
Expand on Wolfram|Alpha on
x^1.2/(K^1.2+x^1.2) and it gave me an expansion of
x about 1 (i.e., in terms of
(x - 1)^i).
But in Mathematica I could not get the expansion.
Are there commands/packages other than Expand I can include for this purpose?