There are **6** NRICH Mathematical resources connected to **Maclaurin series**, you may find related items under Calculus.

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Look at the advanced way of viewing sin and cos through their power series.

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Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

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Get further into power series using the fascinating Bessel's equation.

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Build up the concept of the Taylor series

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Looking at small values of functions. Motivating the existence of the Taylor expansion.

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Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.