Question

Question #0dd3d

Answer 1

There is no ambiguity in the definition of number `1` as `1/"infinity" !=0`.

Explanation:

Division by `oo` needs to be dealt with very carefully.

First of all we must appreciate what exactly is `oo`

It is a sufficiently large number, as such may not be unique. Therefore,

1. When a number is divided by `oo`, the result is an arbitrarily chosen number `epsilon` which is very close to zero, but not exactly equal to zero.
2. The limit of number `1/n` as `n` tends to infinity is zero; but `1/"infinity" !=0`.