The function needs to be written in python.

Write a function to approximate the function, f(), using a Taylor series. The Taylor series for the function, (#), evaluated at Jo is given by the expression: f(0) = 8 (47) (18 ro)" , however, we often truncate this infinite sum at n= N and write the Taylor series as an approximation N (1)(0) 6-10)" f(3) Pn() = ? (10) The function, f(2), can then be written as f(x) = Px(t) + Rx(r) (11) By including more terms in the series, i.c., higher values of N, the truncation error reduces and the Taylor series becomes a better approximation for the function at to. Demonstrate this by plotting the function RNC) for different values of N for the following functions: 1. f(x) = e atto = 0. 2. f(x) = at 30 = 4