Please solve this in python without using any function except the exp from the math library. Thanks

!!!!!!PLEASE DON'T USE MATH.FACTORIAL FOR THE FACTORIAL PART. PLEASE DO IT MANUALLY!!!!!!

The purpose of this question is to write a program that computes the approximate value of ex2, where x is a real number, to any number of decimal places using the series in the equation given below. ex2=1x2+2!x43!x6+4!x8 Add terms to the sum of the series as long as the value of the current term is greater than 0 . Count the number of terms in the series. Your program must input the value of the number of decimal places and the value of x. Both of these must be integers. There must NOT be any floats in the summation of the series! Compute the value of ex2, using Python's exp function and display the value to 14 decimal places using exponential format. Display the approximate value of ex2, which is the sum of the series, so that it looks like a real number (contains a decimal point). Display the number of terms in the series as an integer using the appropriate format code. For 50 decimal places and x=2 the input to and the output from the program must be similar to the following: Calculate e(x2) given the number of decimal places and the value of x Enter the number of decimal places: 50 Enter the value of x:2 Python's values of e4 is: 0.018315638888734 The approximate value of e4 is: 0.01831563888873418029371802127324124221191206755347 The number of terms in the series is 68 Programmed by Stew Dent. Date: Sun Jan 2911:43:462023 End of processing. Test your program using different values of x including 1, 4, and 6 and hand in your program