I started arguing this in high school, and perhaps I am being stubborn and denying the rebuttals and/or maybe I am just searching for someone who agrees with me. So far the only person to agree with me on this is my best friend.

From what I am taught any number divided by zero is undefined.

x÷0=infinity

And any number divided by itself is 1.

x÷x=1

So what about zero? I approached it in terms of quantity:

If I have 3 marbles in my left hand, and I move 3 of those marbles to my right hand, I moved 1 *whole* of the marbles (3÷3=1). Likewise, If I have zero marbles in my left hand, and I move zero marbles to my right hand, I moved 1 *whole* of the marbles (0÷0=1).

Also look at it this way: 0÷0 = 0 × (1/0) = zeroes cancel = 1!

If that’s not enough find :

lim sin(x)

[sup]x-›0 X[/sup]

By direct substitution you get sin(0)÷0 = 0÷0 but it = 1!

Enough proof?