1. The problem statement, all variables and given/known data Find coefficients A, B, and C. f'(x)= Af(x)+Bf(x+h)+Cf(x+2h)+O(h2) Using Taylor's Theorem. Note: O stands for Big O in asymptotic order notation. 3. The attempt at a solution Here are the expansions: Bf(x+h)= Bf(x)+Bhf'(x)+(1/2)Bh2f"(x)+(1/6)Bh3f"'(x).... Cf(x+2h)=Cf(x)+2Chf'(x)+2Ch2f"(x)+(4/3)Ch3f"'(X)... And then I added them and factored out the coefficients = (A+B+C)f(x)+(B+2C)hf'(x)+(1/2B+2C)h2f"(x)+.... Is this correct? I'm stuck as to what I am supposed to do next. Thanks.