14. (a) Show that the iterative formula based on Newton Raphson’s method for approximating the root of the equation 2 ln x–1 + 1 = 0 is given by

${\mathrm{X}}_{\mathrm{n}+1}=\left(\frac{2{\mathrm{Inx}}_{\mathrm{n}}-1}{{\mathrm{x}}_{\mathrm{n}}-1}\right)$,n = 0,1,2,......

(b) Draw a flow chart that:

(i) reads the initial approximation xo of the root.

(ii) computes and prints the root correct to 2 decimal places, using the formula in (a).

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