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Limits Continuity and Differentiability question

2019 · 11 Jan · Shift 1 · Q22

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 11 Jan · Shift 1 · Q22

Limits Continuity and Differentiability question

2019 · 11 Jan · Shift 1 · Q22

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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}}}

A
equals $\pi$ + 1
B
equals 0
C
does not exist
D
equals $\pi$

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