Python Suppose the function eª is approximated by 1+x+ on [0, 1]. Writea Python program to perform the following tasks(a) Create a partition of the interval [0, 1] using 50 points.(b) Plot the functions eª and 1+x+2 on your grid points.(c) Calculate the absolute and relative error of the approximation atx = 1.(d) Calculate the discrete, loo, l₁, and l2 norms of the approximationerror over the entire interval [0, 1]

Dear Student, The source code, implementation and expected output of your program is given below -

Suppose the function eª is approximated by 1+x+ on [0, 1]. Write a Python program to perform the following tasks (a) Create a partition of the interval [0, 1] using 50 points. (b) Plot the functions eª and 1+x+ on your grid points. (c) Calculate the absolute and relative error of the approximation at x = 1. (d) Calculate the discrete, loo, l1, and l₂ norms of the approximation error over the entire interval [0, 1]