Functions Question 221
Question: If $ f(x)= \begin{cases} & x\ :\ x<0 \\ & 1\ :\ x=0 \\ & x^{2}\ :\ x>0 \\ \end{cases} ., $ then $ \underset{x\to 0}{\mathop{\lim }},f(x)= $
[DCE 2000]
Options:
A) 0
B) 1
C) 2
D) Does not exist
Show Answer
Answer:
Correct Answer: D
Solution:
L.H.L. = 0 and R.H.L. cannot be found as the function is not defined for $ x>0. $
BETA
