Infinity is NOT a Number

a^0 = 1 when a is not zero - An explanation

2 x 3 = 6 so 2 = 6/3
2 x 0 = 0 so 2 = 0/0
3 x 0 = 0 so 3 = 0/0
Therefore 2 = 3
In this article 1 divided by zero is not number.

Some Infinity is Larger

One to One Functions and Infinity

This article is an extension of an earlier article on one to one functions. I believe you may be similarly inspired like me by the book Journey Through Genius by William Dunham.

One to One Functions

An Interesting Application of One to One Functions

It is usually not interesting to learn functions, domains and ranges. I am quite sure this article can enliven the lesson.