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 powerOfNumber which takes two parameters: x (double) and y (integer) and returns the value of xy . Function PowerOfNumber MUST use a while loop. ( Not allowed to use the predefined function pow in math.h). 2- function called factorialOfNumber which takes one parameter x (integer) and returns its factorial. Function factoriaOfNumberl MUST use a for loop. 3- function called computeExpo which receives one parameter x (double) and returns the value of ex for the given x using the series above as well as functions powerOfNumber and factorialOfNumber ( 1 and 2 above) . Function computer_ex MUST use a do/while loop. The loop should stop 1 when the new term added ( term = Xn/n! where n=0,1,2,3,...) to the serie is less than 0.0001

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter6: User-defined Functions
Section: Chapter Questions
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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 powerOfNumber which takes two parameters: x (double) and y (integer) and returns the value of xy . Function PowerOfNumber MUST use a while loop. ( Not allowed to use the predefined function pow in math.h).
2- function called factorialOfNumber which takes one parameter x (integer) and returns its factorial. Function factoriaOfNumberl MUST use a for loop.
3- function called computeExpo which receives one parameter x (double) and returns the value of ex for the given x using the series above as well as functions powerOfNumber and factorialOfNumber ( 1 and 2 above) . Function computer_ex MUST use a do/while loop. The loop should stop 1 when the new term added ( term = Xn/n! where n=0,1,2,3,...) to the serie is less than 0.0001
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