# zeroinfinity

1. ### What is the relation between 0^0 and limx^x?

Since we can not divide with zero, the equation below is true for every x except zero. 1 = \frac{x^1}{x^1} = x^{1-1} = x^0 Using limits we can see that 0^0 is actually getting close to 1. lim_{x \to 0} x^x = 1 Does this say anything?
2. ### Zero-infinity number arrangement based on number size.

Hello ladies and gentlemen, MY name is Eugene, aand i like math) some interesting idea came to my head today. If dividing by zero returns an infinity, then zero is not an absence of number, but an infinitely small one. This lead me to idea that numbers can be arranged based on their size into a...