Limits Continuity And Differentiability Question 27
Question: The number of points at which the function $ f(x)=\frac{1}{{\log _{e}}| x |} $ is discontinuous, is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: C
Solution:
The function $ \log | x | $ is not defined at $ x=0 $ . So, $ x=0 $ is a point of discontinuity .
Also, for $ f(x) $ to be defined; $ \log | x |\ne 0\Rightarrow x\ne \pm 1 $ .
Hence, $ 0,1,-1 $ are three points of discontinuity.
BETA
