For the graph of a function

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For the graph of a function ff, which of the following conditions guarantees that the line x=cx=c is a vertical asymptote? (a) lim⁡x→cf(x)=0\displaystyle \lim_{x\to c} f(x)=0 (b) lim⁡x→∞f(x)=c\displaystyle \lim_{x\to\infty} f(x)=c (c) lim⁡x→cf(x)=∞\displaystyle \lim_{x\to c} f(x)=\infty (d) f′(c)=∞\displaystyle f'(c)=\infty

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