// Program: euler.cpp
// Approximate the Euler number e.

#include <iostream>

int main () 
{
  // values for term i, initialized for i = 0
  float t = 1.0f;   // 1/i!
  float e = 1.0f;   // i-th approximation of e  

  std::cout << "Approximating the Euler number...\n";
  // steps 1,...,n
  for (unsigned int i = 1; i < 10; ++i) {
    t /= i;  // 1/(i-1)! -> 1/i!
    e += t;  
    std::cout << "Value after term " << i << ": " << e << "\n";
  } 

  return 0;
}