A function satisfies ,

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function

g

satisfies

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

\displaystyle \lim_{x\to 2^+} g(x)=5

, and

g(2)=3

. Determine whether

g

is continuous at

x=2

and give a brief reason.