Make a program in C that make use of recursion function

Question

Hello, I want make a program that output 1+x+x^2!+x^3/3! + ... + x^n/n! that using recursion function in C.
Algorithm :
1. Declare the values of x and n
2. Display the x and n values
2. declarate variable sum = 1. Make sure sum can store numbers behind the comma
3. for i = 1 to n then
4. Look for factorial values
5. look for the power value
6. sum = number of rank and factorial from i to n
7. Display sum

But, im not understand how to make the code. Please anyone help me by explaining this

Answer 1

^ is power
! is factorial

Answer 2

@Coder Kitten I dont know, but my lecturer is give me those algorithm

Answer 3

@coder kitten sum is the result of factorial and power from 1 until n (x+x^n!).
i verify this with my lecturer. Also he said, he dont like pow function. he ask us to do it in classic way "(x*x)=x^2"

Answer 4

what do you think about my code ? :

// C program to find sum of series
// 1 + x/1 + x^2/2 + x^3/3 + ....+ x^n/n
#include <math.h>
#include <stdio.h>
//Fakctorial
int factorial(int n)
{
int c;
long r = 1;

for (c = 1; c <= n; c++)
r *= c;

return n;
}
//power
double sum(int x, int n)
{
double i, total = 3;
for (i = 1; i <= n; i++)
total = total +
(pow(x, i) / factorial(n));
return total;
}

// Driver code
int main()
{
int x = 1;
int n = 1;
printf("%.2f", sum(x, n));
return 0;
}

Answer 5

can you write the code?
so i can try it by my self.