If the Secant Method converges to r, f ’(r) ? 0, and f ”(r) ? 0, then the approximate error…

If the Secant Method converges to r, f’(r) ≠ 0, and f”(r) ≠ 0, then the approximate error relationship  ≈ |f”(r)/(2f’(r))| can be shown to hold. Prove that if in addition

 

 

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