The value of lim h → 0 2 (3 sin ((π)/6 + h) - cos ((π)/6 + h))/(3 h(3 cosh - sinh)) is:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Morning shift · Q4281

JEE Main 202126 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The value of

\mathop {\lim }\limits_{h \to 0} 2\left\{ {{{\sqrt 3 \sin \left( {{\pi \over 6} + h} \right) - \cos \left( {{\pi \over 6} + h} \right)} \over {\sqrt 3 h\left( {\sqrt 3 \cosh - \sinh } \right)}}} \right\}

is :

JEE Main 2021 · 26 Feb, Morning shift · Q4281

JEE Main 202126 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The value of

\mathop {\lim }\limits_{h \to 0} 2\left\{ {{{\sqrt 3 \sin \left( {{\pi \over 6} + h} \right) - \cos \left( {{\pi \over 6} + h} \right)} \over {\sqrt 3 h\left( {\sqrt 3 \cosh - \sinh } \right)}}} \right\}

is :