In a sense, all formal power series are Taylor series.

A completely different method is the use of Taylor series.

Its Taylor series around the point takes the form :

The Taylor series is then used to describe what the function looks like in the neighborhood of some number a.

This method uses the known function of Taylor series for expansion.

For the first term in the Taylor series, all digits must be processed.

This series can be derived from the above Taylor series.

Both are defined via Taylor series analogous to the real case.

However, in some cases it is not possible to rely on Taylor series.

If we consider all the terms of Taylor series, then there is no approximation.