Perform Example 2.4 with the given function. Plot in each point the original function, its approximation, and error for each degree of polynomial interpolation. Example 2.4 Let f(x) (1 + x)'. For n = 2, 4, ... , 16, calculate the polynomial Pn(x) of degree < n which interpolates f(x) at the n + 1 equally spaced points 10 - 5 i = 0, ..., n X; = i n Then estimate the maximum interpolation error Е, — max f(x) - Pn(x)| -5sxs 5 n = 2, 4, . . ., 16 on the interval [-5, 5] by computing E, z max|(y;) - Pr(y;)| where i 5 10 і 0, ..., 100