Write a C program that computes the value of ex by using the following Taylor series expansion:

• The program should ask the user to enter the value of x and number of terms (n).
• Then, it calculates and displays the approximate value of ex
• Compare your approximate value of ex with the C library function exp() and determine the absolute difference between the two values using fabs().
• Use double precision and display the values with 12 Decimal place.
• An example of input/output dialog is shown below:

Enter value of x: 2 Enter number of terms (n): 18 The approximate value of e^2: 7.389056098885 The value of e^2 using C library function: 7.389056098931 The absolute difference between the two values: 0.000000000046

1!2!3! n