Level:
Project ID:
1003164304
Accepted:
1
Clonable:
0
Easy:
0
Which of the following situations could arise for suitable functions \( f \) and \( g \)?
\( \lim\limits_{x\to2} f(x)=\infty\ \wedge\ \lim\limits_{x\to2}g(x)=-\infty\ \wedge\ \lim\limits_{x\to2}[f(x)+g(x)]=-\infty \)
\( \lim\limits_{x\to2} f(x)=13\ \wedge\ \lim\limits_{x\to2}g(x)=0\ \wedge\ \lim\limits_{x\to2}\frac{f(x)}{g(x)}=13 \)
\( \lim\limits_{x\to2} f(x)=-\infty\ \wedge\ \lim\limits_{x\to2}g(x)=\infty\ \wedge\ \lim\limits_{x\to2}[f(x)-g(x)]=0 \)
\( \lim\limits_{x\to2} f(x)=\infty\ \wedge\ \lim\limits_{x\to2}g(x)=-\infty\ \wedge\ \lim\limits_{x\to2}[f(x)\cdot g(x)]=\infty \)