![]() ![]() ![]() ![]() Taylor series is the representation of a function as an infinite sum of terms that are worked out from the values of the function's derivatives at a single point. Are Taylor Series Formula and Maclaurin Series Formula the Same? The concept of the Taylor series was given by the Scottish mathematician James Gregory and later it was formally introduced by the English mathematician Brook Taylor in 1715. n = Total number of terms in the series.f(x) = Real or complex-valued function, that is infinitely differentiable at a real or complex number “a” is the power series.It can be represented as,į(x) = f(a) f'(a) (x − a) [ \(\frac \times (x - a)^n \) The Taylor series formula helps to expand a function around a value of the variable using the derivatives of the function. Taylor series of a function is an infinite sum of terms, that is expressed in terms of the function's derivatives at any single point, where each following term has a larger exponent like x, x 2, x 3, etc. Taylor series formula thus helps in the mathematical representation of the Taylor series. Let us study the Taylor series formula using a few solved examples at the end of the page. ![]()
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