Please use Python. 25 terms.

Problem 2 Taylor (Maclaurin) series functions (8 pts) We want to write a Python script that can compute the sum of the Maclaurin series for sin(x), COS(X) and exp(x) for a given value of x and a given value of terms that need to be added. You will do this by writing 3 functions: sine_series, cosine_series and exp_series, respectively. However, you are not allowed to use the math.factorial command nor the sum command, so you will need to write two separate functions for these that you can call inside your 3 functions Once you have written these 3 functions, you can write 3 much shorter and simpler func- tions, sine_series_simple, cosine_series_simple and exp_series_simple that do the same but can make use of the math.factorial and sum commands, and make use of list comprehension to calculate things very simply. Problem 2 Taylor (Maclaurin) series functions (8 pts) We want to write a Python script that can compute the sum of the Maclaurin series for sin(x), COS(X) and exp(x) for a given value of x and a given value of terms that need to be added. You will do this by writing 3 functions: sine_series, cosine_series and exp_series, respectively. However, you are not allowed to use the math.factorial command nor the sum command, so you will need to write two separate functions for these that you can call inside your 3 functions Once you have written these 3 functions, you can write 3 much shorter and simpler func- tions, sine_series_simple, cosine_series_simple and exp_series_simple that do the same but can make use of the math.factorial and sum commands, and make use of list comprehension to calculate things very simply