Which of the following limit statements guarantees that the graph of a function has a…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Which of the following limit statements guarantees that the graph of a function ff has a vertical asymptote at x=3x=3? (a) lim⁡x→3f(x)=0\displaystyle\lim_{x\to 3}f(x)=0 (b) lim⁡x→3−f(x)=5 and lim⁡x→3+f(x)=7\displaystyle\lim_{x\to 3^-}f(x)=5\text{ and }\lim_{x\to 3^+}f(x)=7 (c) lim⁡x→3f(x)=∞\displaystyle\lim_{x\to 3}f(x)=\infty (d) lim⁡x→∞f(x)=3\displaystyle\lim_{x\to \infty}f(x)=3

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