Write a C program to use recursive calls to evaluate F(x) = x – x3 / 3! + x5 / 5 ! – x7 / 7! + … xn/ n!

Write a C program to use recursive calls to evaluate F(x) = x – x3 / 3! + x5 / 5 ! – x7 / 7! + … xn/ n!.

  •  Program:

#include<stdio.h>
#include<conio.h>

int main()
{
   float series(float,int),x;
   int n;
   printf("\nEnter X:");
   scanf("%f",&x);
   printf("\nEnter n:");
   scanf("%d",&n);
   printf("\nAns %f",series(x,n));
   getch();
   return 0;
}
float series(float x,int n)
{
   long factorial(int);
   float power(float,int);
   float sum=0;
   int i,s=1;
   for(i=1;i<=n;i+=2)
   {
      sum+=(power(x,i)/factorial(i))*s;
      s*=-1;
   }
   return sum;
}
float power(float x, int y)
{
   float p=1;
   int i;
   for(i=1;i<=y;i++)p*=x;
   return p;
}
long factorial(int p)
{
   long f=1;
   int i;
   for(i=1;i<=p;i++)f*=i;
   return f;
}

  •  Output:
 
Enter X:2.5 Enter n:4 Ans -0.104167

  •  Visit:

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