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Understanding Taylor Series

The Taylor series is a powerful tool in calculus used for approximating functions. It is expressed as an infinite sum of terms calculated from the values of its derivatives at a single point.

Formula

The Taylor series of a function f about a point a is given by:

f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)2/2! + ...

Applications

Taylor series are used in various applications such as:

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