A function satisfies and

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

Problem

A function

g

satisfies

\displaystyle\lim_{x\to2^-}g(x)=5

and

\displaystyle\lim_{x\to2^+}g(x)=7

. Explain why the discontinuity of

g

x=2

is classified as a jump discontinuity.