Let \( [t] \) denote the greatest integer \( \leq t \) and \( \lim _{x \rightarrow 0} x\left[\frac{4}{x}\right]=A \). Th…

Let \( [t] \) denote the greatest integer \( \leq t \) and \( \lim _{x \rightarrow 0} x\left[\frac{4}{x}\right]=A \). Then the function, \( f(x)=\left[x^{2}\right] \sin (\pi x) \) is discontinuous, when \( x \) is equal to :

[JEE Main 2020, 9 Jan (Shift 2)]