Let [x] denote the greatest integer less than or equal to x. Then lim x → 0 (tan (π sin ²x) + (| x | - sin (x[ x ]))²)/(x²)

Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 11 Jan, Morning shift · Q4277

JEE Main 201911 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let [x] denote the greatest integer less than or equal to x. Then

\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi {{\sin }^2}x} \right) + {{\left( {\left| x \right| - \sin \left( {x\left[ x \right]} \right)} \right)}^2}} \over {{x^2}}}

JEE Main 2019 · 11 Jan, Morning shift · Q4277

JEE Main 201911 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let [x] denote the greatest integer less than or equal to x. Then

\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi {{\sin }^2}x} \right) + {{\left( {\left| x \right| - \sin \left( {x\left[ x \right]} \right)} \right)}^2}} \over {{x^2}}}