 
power series


last updated: 20030813 
The theorem of Taylor predicts that a function that behaves sufficient
neatly can
be written as a power series of polynomials.
This series can be used to define a function (with curve y = f(x)). In
that way trigonometric functions can be built,
without using geometrical insights.
In the case of a finite number of polynomials the function is an algebraic function. In the infinite case, the function is transcendental.
