a. Suppose that 0 < q < p and that F(h) = L + O(hp). Show that F(h) = L + O(hq).
b. Make a table listing h, h2, h3, and h4 for h = 0.5, 0.1, 0.01, and 0.001, and discuss the varying rates of convergence of these powers of h as h approaches zero. |
New search. (Also 1294 free access solutions) |