A function has and

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A function

g

has

\displaystyle \lim_{x\to 1^-} g(x)=-\infty

and

\displaystyle \lim_{x\to 1^+} g(x)=\infty

. In one sentence, explain what these limits imply about the graph of

g

near

x=1