Let [t] denote the greatest integer ≤ t and lim x → 0 x[ 4/x ] = A. Then the function, f(x) = [x²]sin(π x) is discontinuous, when x is equal to:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 9 Jan, Evening shift · Q4140

JEE Main 20209 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 :