What is the limit as $x$ $x$ approaches infinity of $ln x$ $lnx$ ?

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Answer 1 · 2015-02-16T18:57:17

First of all it is important to say that $\infty$ $oo$ , 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 $y = ln x$ $y=lnx$ is $(0, + \infty)$ $(0,+oo)$ .

So:

$lim_(xrarr+oo)lnx=+oo$ , as shown by the graphic.

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

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