Question

What is Infinity over Infinity?

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

Step-by-step explanation:

At first, you may think that infinity divided by infinity equals one. After all, any number divided by itself is equal to one, however infinity is not a real or rational number. I am going to prove what infinity divided by infinity really equals, and you may not like the answer.

First, I am going to define this axiom (assumption) that infinity divided by infinity is equal to one:

∞

—

∞

= 1

Since ∞ = ∞ + ∞, then we are going to substitute the first infinity in our axiom:

∞ + ∞

———

∞

= 1

The next step is to split this fraction into two fractions:

∞

—

∞

+ ∞

—

∞

= 1

Next, substitute the axiom twice into the equation, we get:

1 + 1 = 1

Finally, this can be rewritten as:

2 = 1

This equation is obvious incorrect. Therefore,