A calculus problem by Guilherme Dela Corte

Calculus Level pending

\[ \displaystyle{\lim_{x \to 2 } } \left (2x^2-5x+2 \right ) \cot(\pi x) = a \pi ^b\]

On the limit above, \( a \) and \( b \) are integers. Evaluate \( -b \pi ^a \) to the nearest integer.

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