Discontinuous Function Sum (Jee Mains)

Continuity and Differentiability

Hard

Discontinuous Function Sum

Let [•] denote the greatest integer function, and let f(x) = min $\left\{ {\sqrt 2 x,{x^2}} \right\}$ . Let S = {x ∈ (–2, 2) : the function g(x) = |x|[x²] is discontinuous at x}. Then $\sum\limits_{x \in S}^{} {f\left( x \right)}$ equals :

SELECT ONE OPTION

Ask about this question