Let Determine the value of for which is continuous at .

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

Problem

Let

h(x)=\begin{cases}|x-3|+k, & x<3,\\2x-5, & x\geq3.\end{cases}

Determine the value of

k

for which

h

is continuous at

x=3

. (a)

0

(b)

1

(c)

-2

(d)

3