Please type your answer. Do not copy chegg solution. Also, program in python where appropriate.

7. Program the Newton's method xk+1=xkf(xk)f(xk). Consider f(x)=arctan(x) which has a unique zero z=0. Choose all the tolerances to be 1010. Starting with x0=0.5,1,1.3,1.4,1.35,1.375,1.3875,1.39375,1.390625,1.3921875, iterate until one of the tolerances is satisfied or 20 iterations are completed. Output the numerical solution at each iteration step. What behavior do you observe