Question: Employ fixed-point iteration to locate the root of f(x) = sin (x) x. Use an initial guess of x 0 = 0.5 and iterate

Employ fixed-point iteration to locate the root of f(x) = sin (√x) − x.

Use an initial guess of x0 = 0.5 and iterate until εa ≤ 0.01%. Verify that the process is linearly convergent as described at the end of Sec. 6.1.

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