Project ID:
5000000050
Accepted:
Template:
Question:
\vspace{-1em}
\begin{minipage}{0.3\linewidth}
Na obrázku je daný graf funkcie $f$. Zaškrtnite správne hodnoty limít funkcie $f$.
\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}