Question

What is the natural log of infinity?

Answer 1

The answer is $\infty$

The natural log function is strictly increasing, therefore it is always growing albeit slowly.

The derivative is $y^{\prime }=\frac{1}{x}$ so it is never $0$ and always positive .

you can also look at it as :

$n=ln\infty$

$e^n=\infty$

therefore , n must be large.