Identify the type of discontinuity present at for the function .

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

Problem

Identify the type of discontinuity present at

x=2

for the function

f(x)=\dfrac{x^{2}-4}{x-2}

. (a)

\text{Infinite discontinuity}

(b)

\text{No discontinuity; the function is continuous at }x=2

(c)

\text{Removable discontinuity}

(d)

\text{Jump discontinuity}