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Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 2 · Q43

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 9 Jan · Shift 2 · Q43

Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 2 · Q43

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

For each x

\in

R, let [x] be the greatest integer less than or equal to x. Then

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

is equal to :

A
$-$ sin 1
B
1
C
sin 1
D
0

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