// Example of for loops to compute a limit.
// limit.cpp
// ESC 104

#include <iostream.h>
#include <iomanip.h>
#include <conio.h>

main()
	{
	float limit;
	float x;
	float delta_x;
	float a,b,c,d,e,f,x0;
	int i;

	cout << setprecision(2)
		  << setiosflags( ios::fixed | ios::showpoint );

	cout << "Enter a: "; cin >> a;
	cout << "Enter b: "; cin >> b;
	cout << "Enter c: "; cin >> c;
	cout << "Enter d: "; cin >> d;
	cout << "Enter e: "; cin >> e;
	cout << "Enter f: "; cin >> f;
	cout << "Enter x0: "; cin >> x0;

	cout << "\n( " << a << "x^2 + " << b << "x + " << c << ")/" <<
			    "( " << d << "x^2 + " << e << "x + " << f << ") \n" << endl;

	cout << "Press any key to compute limit as x --> " << x0 << "\n";
	getch();

	cout << setprecision(5)
		  << setiosflags( ios::fixed | ios::showpoint );

	for( i=200; i>1; i--)
		{
		delta_x = (float)i/1000;
		x = x0 + delta_x;
		limit = ( a*x*x + b*x + c ) / ( d*x*x + e*x + f );
		cout << "Limit at x = " << x << " is " << limit << endl;
		}

	return 0;
	}