# What is the limit as x approaches infinity of lnx?

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Feb 17, 2015

First of all it is important to say that $\infty$, without any sign in front of, would be interpreted as both, and it is a mistake!

The argument of a logarithmic function has to be positive, so the domain of the function $y = \ln x$ is $\left(0 , + \infty\right)$.

So:

${\lim}_{x \rightarrow + \infty} \ln x = + \infty$, as shown by the graphic.

graph{lnx [-10, 10, -5, 5]}

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