Maple 9 Learning Guide - Maplesoft

3.5 Calculus • 67> plot({f(x), p},x=-1..1, -2..2);21–1–0.8–0.6–0.4–0.200.2 0.4 0.6 0.8x1–1–2If you increase the order of truncation of the series to 12 and try again,you see the expected improvement in the accuracy of the approximation.> Order := 12;Order := 12> fs1 := series(f(x), x=0);fs1 := 4 x − 38 3 x3 + 42130 x5 − 100391260 x7 + 24660190720 x9 −61256599979200 x11 + O(x 12 )> p := convert(fs1,polynom);p := 4 x − 383 x3 + 42130 x5 − 100391260 x7 + 24660190720 x9− 61256599979200 x11> plot({f(x), p}, x=-1..1, -2..2);