limit as x approaches infinity of x/(20)

解答

x \to \infty lim (\frac{x}{20})

\infty

求解步骤

x \to \infty lim (\frac{x}{20})

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

= \frac{1}{20} \cdot x \to \infty lim (x)

运用一般极限法则:

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

= \frac{1}{20} \cdot \infty

运用无穷大属性:

c \cdot \infty = \infty

= \infty

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