Mathematics

Mathematics

Problem

A function ff has a vertical asymptote at x=5x=5. As x→5+x\to5^{+}, f(x)f(x) increases without bound; as x→5−x\to5^{-}, f(x)f(x) decreases without bound. Which of the following statements is most strongly supported by this information? a) lim⁡x→5f(x)=−∞\displaystyle \lim_{x\to5} f(x)=-\infty b) lim⁡x→5−f(x)=∞\displaystyle \lim_{x\to5^{-}} f(x)=\infty c) lim⁡x→5+f(x)=∞\displaystyle \lim_{x\to5^{+}} f(x)=\infty d) lim⁡x→5f(x)=0\displaystyle \lim_{x\to5} f(x)=0

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