At , a function satisfies , , and . Explain why is not continuous at and identify the…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

x=4

, a function

j

satisfies

\displaystyle\lim_{x\to4^-} j(x)=-2

\displaystyle\lim_{x\to4^+} j(x)=1

, and

j(4)=1

. Explain why

j

is not continuous at

x=4

and identify the type of discontinuity that occurs there.