What is the natural log of infinity?

1 Answer
Sep 21, 2014

The answer is #oo#.

The natural log function is strictly increasing, therefore it is always growing albeit slowly. The derivative is #y'=1/x# so it is never 0 and always positive.

You can also look at it as:

#n=ln oo#
#e^n=oo#
Therefore, #n# must be large.