Write a C program that reads a double value (x) from the user and then uses it to compute the value of the mathematical constant e to the power of x (ex) and print it in main using the following infinite series: ex = 1 + x/1! + x2/2! + x3/3! + x4/4! + … Your program should include the following three functions: 1- function called power which takes two parameters: x (double) and y (integer) and returns the value of xy . Function power MUST use a while loop. ( Not allowed to use the predefined function pow in math.h). 2- function called factorial which takes one parameter x (integer) and returns its factorial. Function factorial MUST use a for loop. 3- function called compute_ex which receives one parameter x (double) and returns the value of ex for the given x using the series above as well as functions power and factorial ( 1 and 2 above) . Function computer_ex MUST use a do/while loop. The loop should stop when the new term added ( term = Xn/n! where n=0,1,2,3,…) to the series is less than 0.0001.
Write a C
ex = 1 + x/1! + x2/2! + x3/3! + x4/4! + … Your program should include the following three functions:
1- function called power which takes two parameters: x (double) and y (integer) and returns the value of xy . Function power MUST use a while loop. ( Not allowed to use the predefined function pow in math.h).
2- function called factorial which takes one parameter x (integer) and returns its factorial. Function factorial MUST use a for loop.
3- function called compute_ex which receives one parameter x (double) and returns the value of ex for the given x using the series above as well as functions power and factorial ( 1 and 2 above) . Function computer_ex MUST use a do/while loop. The loop should stop when the new term added ( term = Xn/n! where n=0,1,2,3,…) to the series is less than 0.0001.
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