Calculate approximate values of almost every important function on calculators and computers; Computing transcendental functions such as e^x, sinx, and cosx. Taylor series is used to expand the ...

* Computing transcendental functions such as e^x, sinx, and cosx. * Taylor series is used to expand the functions. For example you want to know the expansion of sin(x), you can use Taylor series to ...

The reason for these coefficients s1, …, s5 to differ from the true Taylor coefficients is that in general, the “best” polynomial approximation to a function, even a nice function like sin on an ...

A talk by Peter Schumer, Department of Mathematics, Middlebury College. In calculus, students learn the Taylor series for several important functions such as the exponential, sine, and cosine ...