At , exists and equals a finite number , but either is undefined or . Which type of…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

x=c

\displaystyle \lim_{x\to c} f(x)

exists and equals a finite number

L

, but either

f(c)

is undefined or

f(c)\neq L

. Which type of discontinuity does

f

have at

x=c

? (a) Jump discontinuity (b) Infinite discontinuity (vertical asymptote) (c) Removable discontinuity (d) Oscillating discontinuity