Source: wikibot/taylor-s-theorem
= Taylor's theorem
{wiki=Taylor's_theorem}
Taylor's theorem is a fundamental result in calculus that provides a way to approximate a function using polynomials. Specifically, it states that any sufficiently smooth function can be approximated near a point by a polynomial whose coefficients are determined by the function's derivatives at that point. \#\#\# Formal Statement: Let \\( f \\) be a function that is \\( n \\)-times differentiable at a point \\( a \\).