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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