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

Let's find the asymptotes of

\sqrt{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

0

The limit is finite: no vertical asymptote at

0

x

tends to

+∞

, the function tends to

+∞

and

\frac{f (x)}{x}

tends to

0

: no horizontal or slant asymptote at

+∞

So the function has no asymptote

▶Asymptotes:

\emptyset

🖼/draw?f1=sqrt%28x%29&v=x&b=-10.0&e=10.0&min=0.8&max=3.2