Functions Question 11
Question: $ \underset{x\to 0}{\mathop{\lim }}\frac{|x|}{x}= $
[Roorkee 1982; UPSEAT 2001]
Options:
A) 1
B) -1
C) 0
D) Does not exist
Show Answer
Answer:
Correct Answer: D
Solution:
Since $ \underset{x\to 0-}{\mathop{\lim }}\frac{|x|}{x}=-1 $ and $ \underset{x\to 0+}{\mathop{\lim }}\frac{|x|}{x}=1, $ hence limit does not exist.