Hawkeye!

Algebra Level 4

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

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.