Consider the function f(x)= cases x^ 2 -9 x-3 ,& x 3 6,& x=3

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the function

f(x)=\begin{cases}\dfrac{x^{2}-9}{x-3},& x\ne 3\\6,& x=3.\end{cases}

Determine whether

f

is continuous at

x=3