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A '''Taylor series''' is an  idea used in [[computer science]], [[calculus]], chemistry, physics and other kinds of higher-level [[mathematics]]. It is a [[Series (mathematics)|series]] that is used to create an [[estimate]] (guess) of what a [[Function (mathematics)|function]] [[approximation theory|looks like]]. There is also a special kind of Taylor series called a '''Maclaurin series'''.

A '''Taylor series''' is an  idea used in [[computer science]], [[calculus]], chemistry, physics and other kinds of higher-level [[mathematics]]. It is a [[Series (mathematics)|series]] that is used to create an [[estimate]] (guess) of what a [[Function (mathematics)|function]] [[approximation theory|looks like]]. There is also a special kind of Taylor series called a '''Maclaurin series'''.

The theory behind the Taylor series is that if a point is chosen on the [[coordinate plane]] ([[x-axis|x-]] and [[y-axis|y-axes]]), then it is possible to guess what a function will look like in the area around that point. This is done by taking the [[Derivative (mathematics)|derivative]]s of the function and adding them all together. The idea is that it is possible to add the [[infinite]] number of derivatives and come up with a single [[finite]] sum.

The theory behind the Taylor series is that if a point is chosen on the [[coordinate plane]] ([[x-axis|x-]] and [[y-axis|y-axes]]), then it is possible to guess what a function will look like in the area around that point. This is done by taking the [[Derivative (mathematics)|derivative]]s (instant slope) of the function and adding them all together. The idea is that it is possible to add the [[infinite]] number of derivatives and come up with a single [[finite]] sum.

In [[mathematics]], a Taylor series shows a [[Function (mathematics)|function]] as the sum of an [[wikipedia:Series_(mathematics)|infinite series]]. The sum's terms are taken from the function's [[Derivative (mathematics)|derivative]]s. Taylor series come from [[Taylor's theorem]].

In [[mathematics]], a Taylor series shows a [[Function (mathematics)|function]] as the sum of an [[wikipedia:Series_(mathematics)|infinite series]]. The sum's terms are taken from the function's [[Derivative (mathematics)|derivative]]s. Taylor series come from [[Taylor's theorem]].