Question: Task: 1 . Rounding Error Analysis: Analyze the rounding error involved in this approximation method. Discuss how the subtraction operation f ( x ) f

Task:
1. Rounding Error Analysis: Analyze the rounding error involved in this
approximation method. Discuss how the subtraction operation f (x) f (x h) con-
tributes to rounding error accumulation, particularly when h is very small.
2. Optimal Step Size: Determine the optimal step size h that minimizes the
total error. Consider factors su

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