I have been asked to do the following:
Suppose that f is a function with the property that | | 3 for all n and for all x on [-1,1].
a. Estimate the error if the Taylor polynomial (x) (in powers of x) with n=4 is used to approximate f( ).
b. Find the least positive integer n such that (x) (in powers of x) will approximate f on [-1,1] to within .001.
I don't know where to start on this problem. I have no f(x) to work with so what do I do?