Please write in Language c using only the files stdio.h and math.h

Suppose you wish to find the root r of a function f(x), that is, the value r where f(r)=0. One method is to make an initial guess, x0, compute the line tangent to f at x0, and find where the tangent line intercepts the x-axis, x1. Then, use x1 as the second guess and repeat this procedure n times until f(xn) 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 xaxis at the root r.

The Taylor series of a function f(x) that is infinitely differentiable at a number x0, is approximately

Setting this equation to 0, we have

Write a program using an iteration structure to calculate the approximate root of the equation

Prompt the user to enter an initial guess x0. Example output:

f(0) = f(20) + f(20) 2 - TO) I1 = 10 - f(10)/1'.10) x3 += 22 +3