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Grade 12Differential Calculus

F(x)=|2 Sgn 2x| +2 is discontinuous at

a.)0 b.)1

c.)-1 d.)none of these

Profile image of ANUJ VISHAL
15 Years agoGrade 12
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1 Answer

Profile image of Chetan Mandayam Nayakar
15 Years ago

sgn(x)=1 for x>0,-1 forx<0, 0 for x=0

|2 Sgn 2x| +2 =4 for x>0, 4 for x<0 and 2 for x=0, and is obviously continuous for every other value of 'x', therefore f(x) is discontinuous at x=0

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