Question: a) Derive the midpoint average equation fn-1 + fn+1 2 from the Taylor series expansion of fn-1 and fn+1 centered at fn- b) What

a) Derive the midpoint average equation fn-1 + fn+1 2 from the Taylor series expansion of fn-1 and fn+1 centered at fn- b) What is the accuracy of this approximation? Justify.

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