1. Derive a forward finite difference approximation of f" in the following form: a3f3+ a2f2+ a1f1 + ao fo ₤"(x) = + Etrunc(h; f, x). h² where fk = f(x+kh), ak are coefficients to be determined, and Etrunc is a truncation error term. Find an explicit formula of the truncation error term Etrunc and determine the order of the approximation.

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