1003164303

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Project ID: 
1003164303
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1
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Which of the following situations could arise for suitable functions \( f \) and \( g \)?
\( \lim\limits_{x\to5}f(x)=0\ \wedge\ \lim\limits_{x\to5}g(x)=\infty\ \wedge\ \lim\limits_{x\to5}[f(x)\cdot g(x)]=13 \)
\( \lim\limits_{x\to5}f(x)=1\ \wedge\ \lim\limits_{x\to5}g(x)=\infty\ \wedge\ \lim\limits_{x\to5}[f(x)\cdot g(x)]=13 \)
\( \lim\limits_{x\to5}f(x)=\infty\ \wedge\ \lim\limits_{x\to5}g(x)=\infty\ \wedge\ \lim\limits_{x\to5}[f(x)\cdot g(x)]=13 \)
\( \lim\limits_{x\to5}f(x)=-\infty\ \wedge\ \lim\limits_{x\to5}g(x)=\infty\ \wedge\ \lim\limits_{x\to5}[f(x)\cdot g(x)]=13 \)