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Let alpha be a positive real number , Le...

Let `alpha` be a positive real number , Let f `: RR to RR` and `g : (alpha, oo) to RR` be the functions defined by
`f (x) = sin ((pi x)/(12)) ` and g (x) = ` (2 "log"_(e) (sqrtx - sqrt(alpha)))/("log"_(e) (e^(sqrtx) - e^(sqrt(alpha))))`
Then the value of `underset (x to alpha^(+)) ("lim")` f ( g (x)) is _______.

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