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Write a Mathematica program which will implement the Fixed point iterative method, simulatethe results graphically, be sure that the code will cover all possible cases

Write a Mathematica program which will implement the Fixed point iterative method, simulatethe results graphically, be sure that the code will cover all possible cases (Converge or diverge) for various examples.Finally show your code by approximate the fixed point for g(x)=cos(x) on the interval [0,1].

I need code in program mathematica program Please i need code syntax.

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