JEE Main202622 January 2026Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let [ ] denote the greatest integer function, and let f(x)= 2 x, x² . Let S = x (-2,2) . : the function g (x)=|x| [x² ] is discontinuous at .x . Then _ x S f(x) equals

Options

A6 -2 2
B1- 2
C2- 2
D2 6 -3 2

Correct answer

B. 1- 2

Step-by-step solution

g ( x )=| x | [ x ^2 ] Points of discontinuity of g ( x ) in (-2,2) are ( 1, 2 , 3 ) S= -1,1,- 2 , 2 ,- 3 , 3 f(x)= 2 x, x^2 _ x S f(x)=- 2 +1-2+2- 6 + 6 =1- 2

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