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Evaluate the following limit : \(\lim\limits_{\text x \to\pi/6}\cfrac{2\,sin^2\,\text x+sin\,\text x-1}{2\,sin^2\,\text x-3\,sin\,\text x+1} \)

lim(x→π/6) (2sin2 x + sin x - 1)/(2 sin2 x - 3 sin x + 1)

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 \(\lim\limits_{\text x \to\pi/6}\cfrac{2\,sin^2\,\text x+sin\,\text x-1}{2\,sin^2\,\text x-3\,sin\,\text x+1} \)

lim(x→π/6) (2sin2 x + sin x - 1)/(2 sin2 x - 3 sin x + 1)

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