Mathematics

Problem

Identify the type of discontinuity that occurs at

x=a

\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)=L

exists and is finite, but

f(a)

is either not defined or

f(a)\ne L

. a) Jump discontinuity b) Removable discontinuity c) Non-removable discontinuity d) No discontinuity; the function is continuous