McLaurin Euler approximation

#include <stdio.h>

double euler_approximation(unsigned int iterations);

int main(void) {
  int iterations_amount;
  scanf("%d", &iterations_amount);

  printf("Result: %lf", euler_approximation(iterations_amount));
  return 0;
}

double euler_approximation(unsigned int iterations) {
  unsigned int fact = 1; // 0!
  double euler = 0;
  for (size_t i = 1; i <= iterations; i++) {
    euler += 1.0 / fact;
    fact *= i;
  }
  return euler;
}