Project ID:
5000000049
Accepted:
Template:
Question:
\vspace{-1em}
\begin{minipage}{0.3\linewidth}
Rysunek przedstawia ~wykres~funkcji $f$. Oznacz prawidłowe wartosci dla podanych granic $f$.
\end{minipage}
\hfill
\begin{minipage}{0.3\linewidth}
\centering
\obrA
\end{minipage}
\hfill
\begin{minipage}{0.35\linewidth}
\footnotesize
$$\def\arraystretch{2.2}
f(x)=\left\{\begin{array}{ll}-\frac1{x+1}+x+3; & x < -1 \\ \frac2{x+1}; & -1\leq x < 1 \\ -\frac2x+2; & x\geq 1 \end{array}\right.$$
\end{minipage}
Answer Header 1:
$-\infty$
Answer Header 2:
$-1$
Answer Header 3:
$0$
Answer Header 4:
$1$
Answer Header 5:
$2$
Answer Header 6:
$\infty$
Answer Header 7:
nie istnieje
Question Row 1:
$\lim\limits_{x\to0}f(x)$
Answer Row 1:
5
Question Row 2:
$\lim\limits_{x\to1^-}f(x)$
Answer Row 2:
4
Question Row 3:
$\lim\limits_{x\to1^+}f(x)$
Answer Row 3:
3
Question Row 4:
$\lim\limits_{x\to1}f(x)$
Answer Row 4:
7
Question Row 5:
$\lim\limits_{x\to-1}f(x)$
Answer Row 5:
6
Question Row 6:
$\lim\limits_{x\to-\infty}f(x)$
Answer Row 6:
1
Question Row 7:
$\lim\limits_{x\to\infty}f(x)$
Answer Row 7:
5
Tex:
%tiket 32665
\def\obrA{\obrMsr[x=0.35cm,y=0.35cm]{-5}{5}{-3}6
{
\scriptsize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-2,2,4}
\obrZnackyX[below]{-3,-1,1,3}
\obrZnackyY[left]{-1,1,3,5}
\draw[thin, dashed] (-5,2) -- (5,2);
\draw[thin, dashed] (-1,-3) -- (-1,6);
\draw[thin, dashed] (-5,-2) -- (3,6);
\obrFce[domain=-5:-1.1]{-1/((\x)+1)+(\x)+3}
\obrFce[domain=-0.9:1]{2/((\x)+1)}
\obrFce[domain=1:5]{-2/(\x)+2}
\draw[thick,draw=red,fill=white] (1,1) circle (2pt);
\draw[thick,draw=red,fill=red] (1,0) circle (2pt);
}}
\MsrTabulka[2pt]{0.2\linewidth}{0.8\linewidth}
\pocetsloupcu{7}