Evaluate (lim)x∞x(log)e{sinasin(a+x1)},0<2π

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Question

Evaluate $(lim)_{x \infty} x (lo g)_{e} {\frac{sin ( a + \frac{1}{x} )}{sin a}}, 0 < \frac{π}{2}$

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Question Text

Evaluate

(lim)_{x \infty} x (lo g)_{e} {\frac{sin ( a + \frac{1}{x} )}{sin a}}, 0 < \frac{π}{2}