hi it will be posible to improve the taylor or laurent series to the funtion
so that the taylor series gives
and it only convergent for x for -2 to 2 more or less
thank for your quick response i think that taylor expansion is it too poor and only it is value for a few value but if you want a expansion for al real and comples space need a rational expansion i found a way for example the expansion for the function
it is
the taylor series for x=2 gives the value 1.5 while the last expansion gives 0.9834 the correct answer is it