Let [t] denote the greatest integer … t and …. Then the function, f(x) = [x²]sin(…x) is discontinuous, when x is equal to :

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Limits Continuity and Differentiability

JEE Main 2020 · 9 Jan, Evening shift · Q4140

MathematicsMedium179×since 2002Q4140

Let [t] denote the greatest integer

\le

t and

\mathop {\lim }\limits_{x \to 0} x\left[ {{4 \over x}} \right] = A

. Then the function, f(x) = [x²]sin(

\pi

x) is discontinuous, when x is equal to :