Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f (x) has a root in [0]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent equation x = (1 + cos x). Let g(x) = (1 + cos x). Since lg'(0)| < 1, the fixed-point iteration xn= g(xn-1), with xo = 0, will converge. What is the value of x, such that xn estimates the root of (x) = cos x - - 3x + 1 to three significant digits? (Answer must be in 8 decimal places)

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Q: - Consider the function f(x) = cos x − 3x + 1. Since f (0)f() <0. f(x) has a root in [0]. If we use…

A: I already solved this and again i am posting the same hope this is useful.

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