May someone help? ORZ

u :1 -, u 1 x I 7. (10%) (Richardson's Extrapolation) Suppose that M = N(h) -1-2h-i3h4 +4h for every h > 0. Here M is an exact quantity, which can be the value of an integration or derivative, and the function N (h) is its numerical approxima- tion. (a) (2%) If we require an extremely accurate approximation of M , explain why we have trouble using the function NU!) with a very small it as a direct approximation for M; (b) (6%) Use the Richardson's extrapolation to produce a new function N101) such that M N101) is 0(h4); (c) (2%) Explain why (b) can help us address the concern from part (a)