limit as n approaches infinity of (1n)/3

解答

n \to \infty lim (\frac{1 n}{3})

\infty

求解步骤

n \to \infty lim (\frac{1 \cdot n}{3})

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

= \frac{1}{3} \cdot n \to \infty lim (n)

运用一般极限法则:

n \to \infty lim (n) = \infty

= \frac{1}{3} \cdot \infty

运用无穷大属性:

c \cdot \infty = \infty

= \infty

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