Problem

Derive a formula for in terms of function evaluations f (a), f (a+h), and f (a+2h) that...

Derive a formula for in terms of function evaluations f (a), f (a+h), and f (a+2h) that is correct for polynomials of as high a degree as possible.

Hint: Use polynomials 1, x − a, (x − a)², and so on.

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Solutions For Problems in Chapter 6.2

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