Určování limity funkce z grafu II

Project ID: 
5000000050
Accepted: 
Template: 
Question: 
\vspace{-1em} \begin{minipage}{0.3\linewidth} Na obrázku je dán graf funkce $f$. Zaškrtněte správné hodnoty limit funkce $f$. \end{minipage} \hfill \begin{minipage}{0.3\linewidth} \obrA \end{minipage} \hfill \begin{minipage}{0.35\linewidth} \footnotesize $$\def\arraystretch{2.2} f(x)=\left\{\begin{array}{ll}-\frac1{x-\frac12}-1; & x < 0 \\ \mathrm{cotg}\!\left(\pi\frac x2\right); & 0\leq x < 2 \\ -\frac1{x-2}-6x+20; & 2\leq x < 3{,}2 \\ \sin \left(2\pi(x+0{,}3)\right) & x \geq 3{,}2 \end{array}\right.$$ \end{minipage}
Answer Header 1: 
$-\infty$
Answer Header 2: 
$-1$
Answer Header 3: 
$0$
Answer Header 4: 
$1$
Answer Header 5: 
$\infty$
Answer Header 6: 
neexistuje
Question Row 1: 
$\lim_{x\to1}f(x)$
Answer Row 1: 
3
Question Row 2: 
$\lim_{x\to0^-}f(x)$
Answer Row 2: 
4
Question Row 3: 
$\lim_{x\to0^+}f(x)$
Answer Row 3: 
5
Question Row 4: 
$\lim_{x\to0}f(x)$
Answer Row 4: 
6
Question Row 5: 
$\lim_{x\to2}f(x)$
Answer Row 5: 
1
Question Row 6: 
$\lim_{x\to-\infty}f(x)$
Answer Row 6: 
2
Question Row 7: 
$\lim_{x\to\infty}f(x)$
Answer Row 7: 
6
Tex: 
% tiket 32666 \def\obrA{ \obrMsr[x=0.45cm,y=0.45cm]{-4}{6}{-3}4 { \footnotesize \obrClip \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4} \obrPopisY[left]{-2,2} \obrZnackyX{-3,-1,1,2,3,5} \obrZnackyY{-1,1,3} \obrFce[domain=-4:0]{-1/((\x)-1/2)-1} \draw[thick,draw=red,fill=white] (0,1) circle (2pt); \obrFce[domain=0.1:1.9]{cos(deg(3.14*(\x)/2))/sin(deg(3.14*(\x)/2))} \obrFce[domain=2.01:3.2]{-1/((\x)-2)-6*(\x)+20} \obrFce[domain=3.2:6]{sin(deg(2*3.14*((\x)+0.3)))} \draw[dashed] (-4,-1) -- (6,-1); \draw[dashed] (2,-3) -- (2,4); \draw[red] (1,1) node []{$f$}; }} \MsrTabulka[2pt]{0.25\linewidth}{0.75\linewidth} \pocetsloupcu{6}