Find Lim sin (x-1) / (x ^ 2-1) where X - > 1 | Math enthusiast | Mathematical art

Find Lim sin (x-1) / (x ^ 2-1) where X - > 1

Lim sin (x-1) / (x ^ 2-1) = Lim sin (x-1) / ((x-1) (x + 1)) = Lim sin (x-1) / (x-1) * Lim1 / (x + 1) = 1 * 1 / 2 = 1 / 2, where X - > 1

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