Question #0dd3d

1 Answer
A08
Jul 24, 2016

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.
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