Let be such that

MATHEMATICS · Numerical · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let α,β∈R\alpha,\beta\in\mathbb{R} be such that lim⁡x→0x2sin⁡(βx)αx−sin⁡x=1\lim_{x\to0}\frac{x^2\sin(\beta x)}{\alpha x-\sin x}=1. Then 6(α+β)6(\alpha+\beta) equals

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