The Padé approximation and its enhancements provide a more accurate approximation of
functions than the Taylor series truncation. A new technique for approximating functions into rational
functions is proposed in this paper. This technique is based on the homotopy Padé technique and
introduces new parameters known as merging parameters. These parameters are added to the Tayler
series before the Padé process is computed. To control error, the merging parameters and dividing the
interval into subintervals are used. Two illustrative examples are used to demonstrate the validity and
reliability of the proposed novel approximation.