In this Section we examine how functions may be expressed in terms of power series. This is an extremely useful way of expressing a function since (as we shall see) we can then replace ‘complicated’ functions in terms of ‘simple’ polynomials. The only requirement (of any significance) is that the ‘complicated’ function should be smooth ; this means that at a point of interest, it must be possible to differentiate the function as often as we please.


Learning Outcomes

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