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Behavior as $$x \to \infty$$ or $$x \to -\infty$$:
$$\lim_{x \to \infty} \frac{1}{x} = 0, \quad \lim_{x \to \infty} \frac{a}{x^k} = 0 \ (k \gt 0)$$
For rational functions: divide numerator/denominator by highest power.
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Behavior as $$x \to \infty$$ or $$x \to -\infty$$:
$$\lim_{x \to \infty} \frac{1}{x} = 0, \quad \lim_{x \to \infty} \frac{a}{x^k} = 0 \ (k \gt 0)$$
For rational functions: divide numerator/denominator by highest power.
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