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

Problem
Primary curriculum
Secondary curriculum
### Taking Trigonometry Series-ly

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Trig Reps

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

Problem
Primary curriculum
Secondary curriculum
### Bessel's Equation

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Building Approximations for Sin(x)

Build up the concept of the Taylor series

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### What Do Functions Do for Tiny X?

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Towards Maclaurin

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