# Derive three different g(x) for finding roots to six correct decimal places of the following f (x)… 1 answer below »

Derive three different g(x) for finding roots to six correct decimal places of the following f (x) = 0 by Fixed-Point Iteration. Run FPI for each g(x) and report results, convergence or divergence. Each equation f (x) = 0 has three roots. Derive more g(x) if necessary until all roots are found by FPI. For each convergent run, determine the value of S from the errors , and compare with S determined from calculus as in (1.11). (a) f (x) = 2×3 − 6x − 1 (b) f (x) = ex−2 + x3 − x (c) f (x) = 1 + 5x − 6×3 − e2x

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