Dividing by zero

[Simsim]

Rational, this is exactly what I did. After that I showed how limits can give a definite solution for the operation 0/0 according to the state of the original fraction.

Take the fraction x*(x^2 + x + 5)/ x , when "x" approaches zero both the numerator and denominator approach zero and the total result would be 0/0 which is undefined. But while both the numerator and denominator are approaching zero the value of the total fraction is not undefined but it approaches a defined number which we can find. By omitting "x" in denominator with the "x" in the numerator we can reduce the fraction to this simpler formula: x^2+x+5

Thus when "x" approaches zero the total value, in this case, approaches 5