Taylor maclaurin series - Rhea

A Guide to Taylor and Maclaurin Series

by: Kathryn Marsh, proud Member of the Math Squad.

 keyword: taylor series, maclaurin series 

INTRODUCTION The purpose of this tutorial is to give an overview of Taylor and Maclaurin Series; what they are, how to derive them, and a few applications. This is meant to be a guide to UNDERSTANDING them and finding Taylor Series expansions of functions, not just being able to solve problems on your homework because math is a lot more fun that way :).

 Contents
- The Almighty Power Series
- What's a Taylor Series? 
- Why is this useful again?
- References

The Almighty Power Series

Before we get too deep into the magic of Taylor Series, we need to start with a firm understanding of the power series. So let's take a look at what a power series is.

A power series is just a polynomial that may or may not have a finite degree. Formally, this is anything of the form

$ \sum_{n=0}^{\infty} c_n x^n = c_0 + c_1 x + c_2 x^2 + c_3 x^3 + ... $

where the c_n's can be any constant and x (as usual) is a variable.

TOPIC 3

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TOPIC 2

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REFERENCES

[1] "Loream Ipsum" <http://www.lipsum.com/>.

Questions and comments

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