Let [.] denote the greatest integer function, and let \(f(x)=\min \left\{\sqrt{2} x, x^2\right\}\). Let \(S=\{x \in(-2,2)\) : the function \(g(x)=|x|\left[x^2\right]\) is discontinuous at \(\left.x\right\}\). Then \(\sum_{x \in S} f(x)\) equals

[JEE Main 2026, 22 Jan (Shift 2)]

Question

Let [.] denote the greatest integer function, and let \(f(x)=\min \left\{\sqrt{2} x, x^2\right\}\). Let \(S=\{x \in(-2,2)\) : the function \(g(x)=|x|\left[x^2\right]\) is discontinuous at \(\left.x\right\}\). Then \(\sum_{x \in S} f(x)\) equals

[JEE Main 2026, 22 Jan (Shift 2)]

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Let [.] denote the greatest integer function, and let \(f(x)=\min \left\{\sqrt{2} x, x^2\right\}\). Let \(S=\{x \in(-2,2…

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