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Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 5 Sep · Shift 1 · Q23

Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 1 · Q23

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\alpha

is positive root of the equation, p(x) = x2 - x - 2 = 0, then

\mathop {\lim }\limits_{x \to {\alpha ^ + }} {{\sqrt {1 - \cos \left( {p\left( x \right)} \right)} } \over {x + \alpha - 4}}

is equal to :

A
${1 \over \sqrt2}$
B
${1 \over 2}$
C
${3 \over \sqrt2}$
D
${3 \over 2}$

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