Functions Question 550
Question: The function $ f(x)=|x|+\frac{|x|}{x} $ is
[Karnataka CET 2003]
Options:
A) Continuous at the origin
B) Discontinuous at the origin because |x| is discontinuous there
C) Discontinuous at the origin because $ \frac{|x|}{x} $ is discontinuous there
D) Discontinuous at the origin because both |x| and $ \frac{|x|}{x} $ are discontinuous there
Show Answer
Answer:
Correct Answer: C
Solution:
$ |x| $ is continuous at $ x=0 $ and $ \frac{|x|}{x} $ is also discontinuous at $ x=0 $ \ $ f(x)=,|x|+\frac{|x|}{x} $ is discontinuous at $ x=0 $ .
BETA
