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Jee Advanced

Limits Continuity And Differentiability

JEE Advanced 2016 Paper 1 Offline

INTEGER+3 / -02016

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 _________.

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