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Question

Mathematics Question on Continuity and differentiability

If f(x) ={x29x3,x3 5,x=3\begin{cases}\frac{x^2-9}{x-3}, x≠3 \\\ 5, x=3 \end {cases} then f(x):

A

is continuous at x = 3

B

has removable discontinuity at x =3

C

has irremovable discontinuity at x=3

D

continuous at every real number

Answer

has removable discontinuity at x =3

Explanation

Solution

The correct option is (B):has removable discontinuity at x =3