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The second-order derivative may be written in finite-difference form as dfldx² = [f(x + Ax) – 2f(x) +f(x- Ar)]/(Ar)², where Ax is the step or grid size. Compute the resulting

error if the round-off errors involved in the evaluation of the function at the three values of x are equal. Repeat this calculation if the round-off errors are equal in magnitude but alternating in sign from one grid point to the next.Comment on the significance of your results.

Fig: 1