Consider the function f(x)= cases |x-3| x-3 ,& x 3 ,& x=3 cases For which value of is…

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

Problem

Consider the function

f(x)=\begin{cases}\dfrac{|x-3|}{x-3},& x\neq3\\k,& x=3\end{cases}

For which value of

k

f

continuous at

x=3

? (a)

k=1

(b)

k=0

k

makes

f

continuous at

x=3

(d)

k=-1