C PROGRAMMING, please use visual studio programming software.

First write a program that finds the factorial of a number entered by a user. Then modify the program to allow the calculation of c using the Taylor series expansion. The user should enter the number of terms used to calculate it. Sample output: Factorial calculator. Enter an integer number: 5 5! = 120 Sample output: Enter a number of terms to calculate c: 10 The value of c is: 2.718