Which of the following statements correctly defines a horizontal asymptote of the…

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

Problem

Which of the following statements correctly defines a horizontal asymptote of the graph of a function ff? (a) The line x=Lx=L is a horizontal asymptote of ff if lim⁡x→Lf(x)=±∞\displaystyle\lim_{x\to L} f(x)=\pm\infty. (b) The line y=Ly=L is a horizontal asymptote of ff if lim⁡x→±∞f(x)=L\displaystyle\lim_{x\to\pm\infty} f(x)=L. (c) The line y=Ly=L is a horizontal asymptote of ff if lim⁡x→Lf(x)=±∞\displaystyle\lim_{x\to L} f(x)=\pm\infty. (d) The line y=Ly=L is a horizontal asymptote of ff if lim⁡x→±∞f(x)=±∞\displaystyle\lim_{x\to\pm\infty} f(x)=\pm\infty.

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