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$\large f(x) = \dfrac{ x(x-1)}{(2x-1)(x-2)}$

Let the range of the function $f(x)$ above be $(a,b)$. Find the value of $\displaystyle \lim _{y \to b} \frac{5^y}{2^y +3 ^y}$. If you think the limit does not exist, submit your answer as 42.

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