Supplementary mathematics/Taylor series

In mathematics, the Naylor series is an expression of a function, for example, f, in which all the derivatives of the order of magnitude of the order exist.

Σ ∞n = 0 f (n) (a) (z − a)n/n!

In this expression, sigma or Σ represents the sum of each element in the series, where n varies from zero (0) to infinity or (∞), f (n) represents the nth derivative of the function f and the expression n! The factorial function in the series is represented by the standard form. This series is named after Brooke Taylor, a mathematician and scientist from England.