Let for . The value of is to be chosen so that becomes continuous on the closed…

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

Problem

Let

f(x)=\dfrac{|x-2|}{x-2}

for

2<x\le 5

. The value of

f(2)

is to be chosen so that

f

becomes continuous on the closed interval

[2,5]

. Which choice makes

f

continuous? (a)

-1

(b)

1

(c)

0

(d)

2