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Limits Continuity and Differentiability question

2021 · 18 Mar · Shift 1 · Q30

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 18 Mar · Shift 1 · Q30

Limits Continuity and Differentiability question

2021 · 18 Mar · Shift 1 · Q30

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\mathop {\lim }\limits_{x \to 0} {{{{\sin }^{ - 1}}x - {{\tan }^{ - 1}}x} \over {3{x^3}}}

is equal to L, then the value of (6L + 1) is

A
${1 \over 6}$
B
${1 \over 2}$
C
6
D
2

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