tikz에 연속 쌍곡선 없음

Question

축 환경 내부의 tikz에서 간단한 함수 f (x) = x / (x-1)로 쌍곡선을 그리려고합니다. 그러나 프로그램이 함수를 그릴 때 함수가 정의되지 않은 직선, 즉 x = 1을 그립니다.

두 번째 플롯을 추가하고 도메인을 제한하여 수정하려고 시도했으며 라텍스가 작동하더라도 다음과 같은 오류가 발생합니다. 'Dimension too large'

그것을 제거하는 적절한 방법이 있습니까? 코드와 결과 아래 (내 수정의 경우 addplot 위의 줄을 추천 해제하고 도마 닌을 제한합니다).

KR

\documentclass[usenames,dvipsnames]{beamer}

%\usetheme{CambridgeUS}

\definecolor{Red}{RGB}{176,23,31}


%% Useful packages
\usepackage{lipsum,graphicx,subcaption}
\usepackage{float}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathtools}
\usepackage{bm}
\usepackage{mathrsfs}
\usepackage{amsfonts}


\usepackage{tikz}
    \usetikzlibrary{decorations.pathreplacing}
    \usetikzlibrary{fit, calc, matrix, positioning, arrows.meta, intersections, through, backgrounds, patterns}
\usepackage{pgfplots}
    \pgfplotsset{compat = newest}
    \usepgfplotslibrary{fillbetween}
    \pgfplotsset{overwrite option/.style args={#1 with #2}{#1=#2,#1/.code=}}
    \pgfplotsset{
        vasymptote/.style={before end axis/.append code={\draw[dashed,<->,-{Latex}] ({rel axis cs:0,0} -| {axis cs:#1,0}) -- ({rel axis cs:0,1} -| {axis cs:#1,0}); }},
        myaxis/.style={axis line style={<->, {Latex}-{Latex}}}
        }   % This fancy shit sets the arrows to both parts of the axis in

\begin{document}
\begin{frame}{FUNCTIONS}
    \framesubtitle{BASICS}
    \textbf{Domain}: the set of numbers (inputs) for which the function has defined outputs.
    
    \textbf{Example:}
    \vspace{-20pt
    }
    \begin{columns}
        \column{.4\textwidth}
        \begin{figure}
            \centering
            \begin{tikzpicture}
    \begin{axis}[
        width=6cm,
        xscale = 1, yscale = 1,
        axis lines = middle,
        myaxis,
        grid,
        grid style={densely dashed},
        xmin = -5.5, xmax = 5.5, ymin = -5.5, ymax = 5.5,
        every axis/.append style={font=\tiny},
        xlabel = {$x$}, xlabel style={at=(current axis.right of origin), anchor=west},
        ylabel = $y$, ylabel style={at=(current axis.above origin), anchor=east},
        xtick = {-4,-2,0,2,4},
        % xticklables = {-2,0,2,4,6},
        ytick = {-4,-2,0,2,4},
        % yticklables = {-2,0,2,4,6},
        samples=100,
        domain=-5.5:5.5,
        axis equal,
        % no markers
        ]
        \addplot[domain=-5:5, thick, RoyalBlue, name path = rb]{ln(x)} node[above, rotate = 0] at (2,2) {$f(x) = ln(x)$} ;
    \end{axis}
\end{tikzpicture}
            \caption*{$Dom\left(f(x)\right) = \left\{ \forall x\in \mathbb{R} | x>0\right\}$}
            % \label{fig:my_label}
        \end{figure}
        
        \column{.4\textwidth}
        \begin{figure}
            \centering
            \begin{tikzpicture}
    \begin{axis}[
        width=6cm,
        xscale = 1, yscale = 1,
        axis lines = middle,
        myaxis,
        grid,
        grid style={densely dashed},
        xmin = -5.5, xmax = 5.5, ymin = -5.5, ymax = 5.5,
        every axis/.append style={font=\tiny},
        xlabel = {$x$}, xlabel style={at=(current axis.right of origin), anchor=west},
        ylabel = $y$, ylabel style={at=(current axis.above origin), anchor=east},
        xtick = {-4,-2,0,2,4},
        % xticklables = {-2,0,2,4,6},
        ytick = {-4,-2,0,2,4},
        % yticklables = {-2,0,2,4,6},
        samples=100,
        domain=-5.5:5.5,
        axis equal,
        % no markers
        ]
        % \addplot[domain=-5:1, thick, YellowOrange, name path = rb]{x/(x-1)} ;
        \addplot[domain=-6:6, thick, YellowOrange, name path = rb]{x/(x-1)} node[above, rotate = 0] at (3,3) {$g(x) = \frac{x}{x-1}$} ;
    \end{axis}
\end{tikzpicture}
            \caption*{$Dom\left(g(x)\right) = \left\{ \forall x\in \mathbb{R} | x\in \mathbb{R}\backslash x=1 \right\}$}
            % \label{fig:my_label}
        \end{figure}
        
    \end{columns}
    
\end{frame}
\end{document}

Answer 1

그의 의견에서 언급 된 @NFTaussig는 오른쪽 다이어그램의 도메인에서 1 주변의 점을 제외해야합니다.

두 이미지 모두 동일한 axis옵션 이 있으므로 pgfplotset프레임의 열 앞에 배치 된 이미지 를 병합하는 것이 좋습니다 .

\documentclass[usenames,dvipsnames]{beamer}
%\usetheme{CambridgeUS}
    \setbeamerfont{caption}{size=\footnotesize}
\definecolor{Red}{RGB}{176,23,31}
%% Useful packages
\usepackage{lipsum,graphicx,subcaption}
%\usepackage{float}% have not sense in beamer presentations
\usepackage{mathrsfs}
\usepackage{mathtools, amssymb} % mathtools load amsmath, amssymb load amsfonts
\usepackage{bm}

\usepackage{pgfplots} % it loads tikz too
\pgfplotsset{compat = 1.17}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{arrows.meta,
                backgrounds,
                calc,
                decorations.pathreplacing,
                fit,
                intersections,
                matrix,
                patterns, positioning,
                through}

\begin{document}
\begin{frame}{FUNCTIONS}
    \framesubtitle{BASICS}
    \textbf{Domain}: the set of numbers (inputs) for which the function has defined outputs.

    \textbf{Example:}
%\vspace{-20pt}

\pgfplotsset{
    width=6cm,
    axis lines = middle,
    grid,
    grid style={densely dashed},
    xmin = -5.5, xmax = 5.5, ymin = -5.5, ymax = 5.5,
    every axis/.append style={font=\tiny},
    xlabel = {$x$}, xlabel style={anchor=west},
    ylabel = $y$,   ylabel style={anchor=east},
    xtick = {-4,-2,0,2,4},
    ytick = {-4,-2,0,2,4},
    samples=100,
    axis equal,
            }
 
    \begin{columns}
        \column{.45\textwidth}
        \begin{figure}
            \begin{tikzpicture}
    \begin{axis}
        \addplot[domain=-5:5, thick, RoyalBlue] {ln(x)} node[above left] {$f(x) = ln(x)$} ;
    \end{axis}
\end{tikzpicture}
    \caption*{$\mathrm{Dom}\left(f(x)\right) = \left\{ \forall x\in \mathbb{R}\mid x>0\right\}$}
        \end{figure}
%
        \column{.52\textwidth}
        \begin{figure}
            \begin{tikzpicture}
    \begin{axis}
\addplot[domain=-5:0.9, thick, YellowOrange]{x/(x-1)} ;
\addplot[domain= 1.01:6, thick, YellowOrange]{x/(x-1)} node[xshift=1em,above left] {$g(x) = \frac{x}{x-1}$} ;
    \end{axis}
\end{tikzpicture}
    \caption*{$\mathrm{Dom}\left(g(x)\right) = \left\{\forall x\in \mathbb{R}\mid x\in \mathbb{R}\neg{x}=1 \right\}$}
        \end{figure}
    \end{columns}

\end{frame}
\end{document}