limit as x approaches infinity of cox(x)

解答

x \to \infty lim (co x (x))

\infty

求解步骤

x \to \infty lim (co xx)

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= co \cdot x \to \infty lim (xx)

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

不定型除外

= co \cdot x \to \infty lim (x) \cdot x \to \infty lim (x)

x \to \infty lim (x) = \infty

= co \cdot \infty \cdot \infty

化简

co \cdot \infty \cdot \infty : \infty

= \infty

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