3. Using the Taylor Expansion formula f(a+h) = f(a) + f'(a)h + f''(a)/2! h^2 + O(h^3), Derive the a second order central difference formula (O(h^2)) involving f(x), f(x + h), and f(x + 2h).
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Step 1:** Apply the Taylor Expansion formula to \(f(z + h)\): \[f(z + h) = f(z) + f'(z)h + \frac{f''(z)h^2}{2} + O(h^3)\] ** Show more…
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