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Recursive Functions
Recursion is a process by which a function includes itself with a condition for its safe exit. It is best suitable for a recursive problem. A typical example is the factorial problem, the programs without and with recursive functions are shown below.
void main()
{
long factorial ( int num); // Forward declaration of
//a function
int num;
printf("\n Enter a number:");
scanf("5d",&num);
printf(" Factorial of 5d is %ld",num,factorial(num));
}
long factorial(int num) // Non recursive
long f=1;
while ( n)
f = f * n;
n--;
return(f);
long factorial(int num) // Recursive
if(n == 1)
return (1);
else
return( n* factorial(n-1));
Binomial coefficients are the numeric factors of the products in a power of a binomial such as (x + y)n. For example, (x + y)2 = x2 + 2 x y + y2 has the coefficients 1 2 1. Binomia
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