Question #0dd3d

1 Answer
Jul 24, 2016

Answer:

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#.