Taylor series Totally Explained

Everything about Series Expansion totally explained

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In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. It may be regarded as the limit of the Taylor polynomials. Taylor series are named in honour of English mathematician Brook Taylor. If the series uses the derivatives at zero, the series is also called a Maclaurin series, named after Scottish mathematician Colin Maclaurin.

Definition

The Taylor series of a real or complex function f(x) that's infinitely differentiable in a neighborhood of a real or complex number a, is the power series

f(a)+frac!

in full analogy to the single variable case.

Further Information

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