Functions Question 84
Question: If $ f(x)= \begin{cases} & x^{2},,when,x\le 1 \\ & x+5,\text{when }x>1 \\ \end{cases} . $ , then
[AISSE 1983]
Options:
A) $ f(x) $ is continuous at $ x=1 $
B) $ f(x) $ is discontinuous at $ x=1 $
C) $ \underset{x\to 1}{\mathop{\lim }},f(x)=1 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{x\to 1-}{\mathop{\lim }},f(x)=1,\underset{x\to 1+}{\mathop{\lim }},f(x)=6. $
BETA
