Mathematics

Problem

For a function

g

, it is given that

\displaystyle \lim_{x\to 1^-}g(x)=\lim_{x\to 1^+}g(x)=5

while

g(1)=9

. What type of discontinuity does

g

have at

x=1

? a)

\text{Jump discontinuity}

\text{The function is continuous at }x=1

\text{Removable discontinuity}

\text{Infinite discontinuity}