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Limits Continuity and Differentiability question

2021 · 17 Mar · Shift 1 · Q24

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 17 Mar · Shift 1 · Q24

Limits Continuity and Differentiability question

2021 · 17 Mar · Shift 1 · Q24

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

The value of

\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})} \over {x - {x^3}}}

, where [ x ] denotes the greatest integer

\le

x is :

A
$\pi$
B
${\pi \over 4}$
C
${\pi \over 2}$
D
0

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