A) jump discontinuity
B) removal discontinuity
C) infinite discontinuity
D) no discontinuity at x=0
Correct Answer: A
Solution :
[a] f(x)=|2 sgn 2x|+2 \[=\left\{ \begin{matrix} 4,x>0 \\ 2,x=0 \\ 0,x<0 \\ \end{matrix} \right.\] Thus, f(x) has non-removable discontinuity at x=0
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