Limits Continuity And Differentiability Question 7
Question: The function f(x)=|2 sgn 2x|+2 has
Options:
A) jump discontinuity
B) removal discontinuity
C) infinite discontinuity
D) no discontinuity at x=0
Show Answer
Answer:
Correct Answer: A
Solution:
f(x)=|2 sgn(2x)|+2 $ = \begin{matrix} 4,x>0 \ 2,x=0 \ 0,x<0 \ \end{matrix} . $
Thus, f(x) has non-removable discontinuity at x=0
BETA
