Question: Taylor expansion of function

I am defining, 

f(x):= x-> diff(g(x),x)/(1+g(x))

Here g(x)<<1 and I am looking for series expansion, 1/(1+g(x)) = 1- g(x) + g(x)^2 etc.

But I cannot get this by using series(f(x),g(x)=0) or other options.

Thanks,

Rahul

Please Wait...