limit as x approaches infinity of (u(x)k+1)/(u(x)k)

解

x \to \infty lim (\frac{u ( x ) k + 1}{u ( x ) k})

未定義

解答ステップ

x \to \infty lim (\frac{u ( x ) k + 1}{u ( x ) k})

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

= \frac{1}{k} \cdot x \to \infty lim (\frac{u ( x ) k + 1}{u ( x )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

不定形式の場合を除く

= \frac{1}{k} \cdot \frac{lim _{x \to \infty} ( u ( x ) k + 1 )}{lim _{x \to \infty} ( u ( x ) )}

x \to \infty lim (u (x) k + 1) = \infty

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

= \frac{1}{k} \cdot \frac{\infty}{u \cdot \infty}

簡素化

\frac{1}{k} \cdot \frac{\infty}{u \cdot \infty} :

未定義

= 未定義