limit as x approaches-infinity of x^2e^2

解

x \to - \infty lim (x^{2} e^{2})

\infty

解答ステップ

x \to - \infty lim (x^{2} e^{2})

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

= e^{2} \cdot x \to - \infty lim (x^{2})

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

不定形式の場合を除く

= e^{2} (x \to - \infty lim (x))^{2}

共通限度を適用する:

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

= e^{2} (- \infty)^{2}

簡素化

e^{2} (- \infty)^{2} : \infty

= \infty