Calculate the first six iterates of the fixed point iteration xn+1 = 1 + 0.3 sin(xn) with x0 = 1

Question : Calculate the first six iterates of the fixed point iteration xn+1 = 1 + 0.3 sin(xn) with x0 = 1 Solution : Given (n+1)th iteration \[x_{n+1}\ =\ 1\ +\ 0.3\ sin(x_n) \] eqn. (1) with \[x_0\ =\ 1…

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