Functions Question 601

Question: If $ f(x)= \begin{cases} & x^{2},when,x\ne 1 \\ & ,2,whenx=1 \\ \end{cases} . $ then

Options:

A) $ \underset{x\to 1}{\mathop{\lim }},f(x)=2 $

B) $ f(x) $ is continuous at $ x=1 $

C) $ f(x) $ is discontinuous at $ x=1 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{x\to 1}{\mathop{\lim }},f(x)=1,f(1)=2. $