Functions Question 134
Question: If $ f(x)= \begin{cases} & x,\ \ \ when\ x>1 \\ & x^{2},,whenx<1 \\ \end{cases} . $ , then $ \underset{x\to 1}{\mathop{\lim }},f(x)= $
[MP PET 1987]
Options:
A) $ x^{2} $
B) $ x $
C) $ -1 $
D) 1
Show Answer
Answer:
Correct Answer: D
Solution:
$ \underset{x\to 1-}{\mathop{\lim }},f(x)=1=\underset{x\to 1+}{\mathop{\lim }},f(x) $ .