Question

g Suppose that we have a quadrature Qn using n+1 function evaluations that approximates the integral Z b a f(x)dx with the error Z b a f(x)dx − Qn(f) = a1 · sin(1/n) + a2 · (sin(1/n))2 + a3 · (sin(1/n))3 + . . . . Using Qn, Q2n and Q4n, perform 2 steps of Richardson’s extrapolation, i.e., write down the formula for the resulting method and express its error in terms of a power of 1/n.

Answer 1

Answer:

The Order is (1/n^3).  

Step-by-step explanation:

Please see the attached file for details.

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