Which of the following limit statements is sufficient to conclude that the graph of a…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Which of the following limit statements is sufficient to conclude that the graph of a differentiable function

f

has a vertical asymptote at

x=2

? (a)

\displaystyle \lim_{x\to 2} f(x)=0

(b)

\displaystyle \lim_{x\to 2^{+}} f(x)=\infty

(c)

\displaystyle \lim_{x\to 2} f(x)\;\text{does not exist}

(d)

\displaystyle \lim_{x\to 2^{-}} f(x)=-3