Question
Let [ ] denote the greatest integer function, and let f(x)= \ 2 x, x^ 2 \ . Let S = \ x (-2,2) . : the function g (x)=|x| [x^ 2 ] is discontinuous at .x \ . Then _ x S f(x) equals
JEE Main
Mathematics
Continuity and Differentiability
2026
JEE Main 2026 (22 January Shift 2)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 6 -2 2
- B. 1- 2
- C. 2- 2
- D. 2 6 -3 2
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
Related: Mathematics — Continuity and Differentiability · All PYQ Banks