Series Expansions
Any ``smooth'' function can be expanded as a Taylor series expansion:
where ``smooth'' means that derivatives of all orders must exist over the range of validity. Derivatives of all orders are obviously needed at
![$ x=0$](http://www.dsprelated.com/josimages_new/pasp/img126.png)
![$ f(x)$](http://www.dsprelated.com/josimages_new/pasp/img437.png)
![$ x$](http://www.dsprelated.com/josimages_new/pasp/img179.png)
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