ˈtālə(r) noun
also taylor's series -ə(r)(z)-
Usage: usually capitalized T
Etymology: after Brook Taylor died 1731 English mathematician
: a power series that gives the expansion of a function f(x) in the neighborhood of a point a provided a power series exists and converges to the function in the neighborhood and that has the form f(x) = f(a) + f [1] (a)/1! (x - a) + f [2] (a)/2! (x - a) ² + ... + f [n] (a)/n! (x - a) ⁿ + ... where f [ n ] ( a ) is the derivative of nth order of f(x) evaluated at a