PadeApproximant

PadeApproximant[expr,{x,x0,{m,n}}] gives the Padé approximant to expr about the point x=x0, with numerator order m and denominator order n.

PadeApproximant[expr,{x,x0,n}] gives the diagonal Padé approximant to expr about the point x=x0 of order n.

Examples

Compute a Padé approximant of Exp[x]:

PadeApproximant[Exp[x], {x, 0, {2, 2}}]
(* (1 + x/2 + x^2/12)/(1 - x/2 + x^2/12) *)

Please visit the official Wolfram Language Reference for more details.