Given ,
Plot the error of the approximation on the interval [-1, 1] using the data points .
Now, the formula for the error is given as:
where is in an interval containing and (i = 0, 1, 2, ..., m).
Ok, so, even though I've found the actual approximating polynomial, (not 5 since the highest power has zero coefficient), I don't actually need it in this formula, from what I see.
So I can compute the sixth derivative of F(x) in Maple, which is very long to post. And (2m+2)! = 6! = 720. (m=2).
But what do I do about this thing?! I.e. How do I find the correct expression to plot?