asymptotes of ln(x) — step-by-step solution

Let's find the asymptotes of

\ln (x)

, for real

x

The function is defined on

(0, +∞)

: a vertical asymptote can only be at a finite bound of this domain

x

approaches

0

from the right, the function tends to

-∞

The function tends to infinity: the line

x = 0

is a vertical asymptote

x

tends to

+∞

, the function tends to

+∞

and

\frac{f (x)}{x}

tends to

0

: no horizontal or slant asymptote at

+∞

▶Asymptotes:

x = 0

🖼/draw?f1=ln%28x%29&v=x&x2=0&b=-10.0&e=10.0&min=-0.21972245773362198&max=2.4169470350698417&dash=2