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Limits Continuity and Differentiability question

2016 · Shift 1 · Q36

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2016 · Shift 1 · Q36

Limits Continuity and Differentiability question

2016 · Shift 1 · Q36

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1

Let

\alpha

,

\beta\in

R be such that

\mathop {\lim }\limits_{x \to 0} {{{x^2}\sin (\beta x)} \over {\alpha x - \sin x}} = 1

. Then 6(

\alpha

+

\beta

) equals

\underline{\hspace{2cm}}

.

Numerical answer

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