Functions Question 312

Question: If $ f(x)=|x-b|, $ then function

[AI CBSE 1984]

Options:

A) Is continuous at $ x=1 $

B) Is continuous at $ x=b $

C) Is discontinuous at $ x=b $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Obviously $ \underset{x\to b}{\mathop{\lim }}f(x)=f(b)=0 $ .