Let [\cdot] denote the greatest integer function, and let f(x)=\min \{\sqrt{2} x, x^2\}. Let S = \{x \in(-2,2). : the function g (x)=|x| [x^2] is discontinuous at x\}. Then \sum_{x \in S} f(x) equals [22 Jan 2026 Shift 2]

Limits, Continuity and Differentiability Part 3

Section: Mathematics

Question : 9 of 69

Marks: +1, -0

Let [⋅] denote the greatest integer function, and let f(x)=min{√2x,x2}.
Let S={x∈(−2,2). : the function g(x)=|x|[x2] is discontinuous at x}.
Then ∑x∈Sf(x) equals

[22 Jan 2026 Shift 2]

2−√2
2√6−3√2
1−√2
√6−2√2

Validate

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