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점근선 계산기
점근선을 단계별로 찾기
이 계산기는 단계별 풀이를 보여 주면서 함수의 수직, 수평 및 사선 점근선을 찾으려고 시도합니다.
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.