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Broad Topics >

Calculus > Maclaurin series

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Build up the concept of the Taylor series

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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.

##### Age 16 to 18 Challenge Level:

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