Limits of Function from its Graph II

Submitted by ladislav.foltyn on Wed, 05/01/2019 - 12:19
Project ID: 
5000000050
Accepted: 
SubArea: 
Limits and continuity
Template: 
A
Question: 
\vspace{-1em} Unknown environment 'minipage' \hfill Unknown environment 'minipage' \hfill Unknown environment 'minipage'
Answer Header 1: 
−∞
Answer Header 2: 
−1
Answer Header 3: 
0
Answer Header 4: 
1
Answer Header 5: 
∞
Answer Header 6: 
does not exist
Question Row 1: 
limx→1f(x)
Answer Row 1: 
3
Question Row 2: 
limx→0−f(x)
Answer Row 2: 
4
Question Row 3: 
limx→0+f(x)
Answer Row 3: 
5
Question Row 4: 
limx→0f(x)
Answer Row 4: 
6
Question Row 5: 
limx→2f(x)
Answer Row 5: 
1
Question Row 6: 
limx→−∞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}