Consider the following in respect of the function $f(x)=$ $|x-3|:$ 1. $f(x)$ is continuous at $x=3$ 2. $f(x)$ is differentiable at $x=0$. Which of the above statements is/are correct?

• A

  1 only
• Correct answer
  B

  2 only
• C

  Both 1 and 2
• D

  Neither 1 nor 2

Hence, the correct answer is option: 'B'.