A Maclaurin series for the exponential function e* is given by: x' x2 x3 x* 1+ 1! x' ex %3D n! 2! 3! 4! n=0 i) Write a function to calculate the factorial of a positive integer. . Name your function...

Extracted text: A Maclaurin series for the exponential function e* is given by: x' x2 x3 x* 1+ 1! x' ex %3D n! 2! 3! 4! n=0 i) Write a function to calculate the factorial of a positive integer. . Name your function 'assignment'. ii) Using the given equation, calculate the approximate solution for x = 1 by looping from n = 1 to n = 20. Apply the function created in i) for the calculation of factorials. Repeat ii) for x = 2, 3, 4, 5 and 6. Store all your answers, including your answer in ii) inside a single array. Hence, plot a graph of e* acainst x using a blue line and blue circle markers. Label the x-axis as 'x', the y-axis as 'e* i)