How to solve this complex limits at infinity with trig? – math.stackexchange.com

Please consider this limit question $$\lim_{x\rightarrow\infty}\frac{a\sin\left(\frac{a(x+1)}{2x}\right)\cdot \sin\left(\frac{a}{2}\right)}{x\cdot \sin\left(\frac{a}{2x}\right)}$$ How should I solve ...

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