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For the polynomial \(P(x) = 50 + x - 2x^6\), determine the following limits:
\(\displaystyle\lim_{x \to \infty} P(x) = \)
\(+\infty\)
\(-\infty\)
\(\displaystyle\lim_{x \to -\infty} P(x) = \)
\(+\infty\)
\(-\infty\)
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