# 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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