|
|
|
|
|
|
|
|
|
|
|
|
Asymptote Calculator
Find asymptotes step by step
The calculator will try to find the vertical, horizontal, and slant asymptotes of the function, with steps shown.
Solution
Your input: find the vertical, horizontal and slant asymptotes of the function $$$f(x)=2023$$$
Vertical Asymptotes
The line $$$x=L$$$ is a vertical asymptote of the function $$$y=2023$$$, if the limit of the function (one-sided) at this point is infinite.
In other words, it means that possible points are points where the denominator equals $$$0$$$ or doesn't exist.
So, find the points where the denominator equals $$$0$$$ and check them.
As can be seen, there are no such points, so this function doesn't have vertical asymptotes.
Horizontal Asymptotes
Line $$$y=L$$$ is a horizontal asymptote of the function $$$y=f{\left(x \right)}$$$, if either $$$\lim_{x \to \infty} f{\left(x \right)}=L$$$ or $$$\lim_{x \to -\infty} f{\left(x \right)}=L$$$, and $$$L$$$ is finite.
Calculate the limits:
$$$\lim_{x \to \infty} 2023=2023$$$ (for steps, see limit calculator).
$$$\lim_{x \to -\infty} 2023=2023$$$ (for steps, see limit calculator).
Thus, the horizontal asymptote is $$$y=2023$$$.
Slant Asymptotes
Since the degree of the numerator is not one degree greater than the denominator, then there are no slant asymptotes.
Answer
No vertical asymptotes.
Horizontal asymptote: $$$y=2023$$$
No slant asymptotes.