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\[\large \lim_{x \to \infty} {\left(\frac{\cosh \left( {\pi}/{x} \right)}{\cos \left( {\pi}/{x} \right)} \right)}^{x^2} \ = \ e^{\pi^a} \]

Find \(a\).

\[\large \lim_{x \to - \infty} \left(\sqrt[5]{x^5 + 7x^4 + 2} - x\right) =\ ? \]

\[\int_0^1 (\ln\Gamma(x))\cos^2(\pi x)\ dx=\frac{\ln(2\pi)}A+\frac BC\]

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