Question: WRITE IT IN only C Code Suppose you wish to find the root rof a function f(x), that is, the value r where f(r=0. One

WRITE IT IN only C Code WRITE IT IN only C Code Suppose you wish to find the

Suppose you wish to find the root rof a function f(x), that is, the value r where f(r=0. One method is to make an initial guess, xo, compute the line tangent to f at xo, and find where the tangent line intercepts the x-axis, X1. Then, use X1 as the second guess and repeat this proceduren times until f(x) approximately equals 0 and report Xn as the root r. In the figure we see successive tangent lines of the function f(x) in red eventually intercept the X- axis at the root r. In Math 150 you learned the Taylor series of a function f(x) that is infinitely differentiable at a number xo, is approximately f(x)=f(x) + f'(x)(x-x) Setting this equation to 0, we have Y = fx) xz Write a program using an iteration structure to calculate the approximate root of the equation x+x=2x + 3 Prompt the user to enter an initial guess Xo. Example output: $ ./Lab04.exe ? 4.0 f(x) 00 4.000000000000000000000000000000 3.300e+01 01 3.000000000000000000000000000000 9.000e+00 02 2.437500000000000000000000000000 2.037e+00 2.213032716315109560412111022742 2.564-01 2.175554938721488085207056428771 6.463e-03 05 2.174560100666445894290745854960 4.479e-06 06 2.174559410293312566864187829196 2.157e-12 07 2.174559410292979944046010132297 -8.882e-16 2.174559410292979944046010132297 -8.882e-16 09 2.174559410292979944046010132297 -8.882e-16 10 2.174559410292979944046010132297 -8.882e-16 03

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