Source: wikibot/braikenridge-maclaurin-theorem

= Braikenridge–Maclaurin theorem
{wiki=Braikenridge–Maclaurin_theorem}

The Braikenridge–Maclaurin theorem is a result from calculus that extends the idea of Taylor series. Specifically, it provides a way to approximate a function using polynomial expressions derived from the function's derivatives at a specific point, often around zero (Maclaurin series). The theorem essentially states that if a function is sufficiently smooth (i.e., it has derivatives of all orders) at a point, then it can be expressed as an infinite series expansion in terms of that point's derivatives.