Identify the type of discontinuity that occurs at if exists and is finite

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Identify the type of discontinuity that occurs at x=ax=a if lim⁡x→a−f(x)=lim⁡x→a+f(x)=L\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)=L exists and is finite, but f(a)f(a) is either not defined or f(a)≠Lf(a)\ne L. (a) Jump discontinuity (b) Removable discontinuity (c) Non-removable discontinuity (d) No discontinuity; the function is continuous

Related theory

Browse the problem library