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Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 1 · Q30

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 10 Jan · Shift 1 · Q30

Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 1 · Q30

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

For each t

\in

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

\mathop {\lim }\limits_{x \to 1^ + } {{\left( {1 - \left| x \right| + \sin \left| {1 - x} \right|} \right)\sin \left( {{\pi \over 2}\left[ {1 - x} \right]} \right)} \over {\left| {1 - x} \right|.\left[ {1 - x} \right]}}

A
equals $-$ 1
B
equals 1
C
equals 0
D
does not exist

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