What the limit!!

Calculus Level 5

$\large{\displaystyle \lim_{x\to 3} \frac { \left( x-3 \right) { \zeta }^{ \prime }\left( { x }^{ 2 }-3x-2 \right) }{ { x }^{ 4 }-9{ x }^{ 3 }+30{ x }^{ 2 }-44x+24 } }$

If the value of the above expression is equal to $$\large{-\frac { \zeta \left( A \right) }{ B{ \pi }^{ C } } }$$

Find $$A\times B\times C$$

$$\zeta^{\prime} (s)$$ is first derivative of $$\zeta (s)$$

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