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Question Id : 17975 | Context : JEE Main 2026 (22 January Evening Shift)
Let $[\,\cdot\,]$ denote the greatest integer function, and let $f(x)=\min\{\sqrt{2}\,x,x^2\}$. Let $S=\{x\in(-2,2):\text{ the function } g(x)=|x|[x^2] \text{ is discontinuous at }x\}$. Then $\sum_{x\in S} f(x)$ equals :


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