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人気のある微分積分 >

limit as x approaches infinity of x^3e^x

解

x \to \infty lim (x^{3} e^{x})

解

\infty

解答ステップ

x \to \infty lim (x^{3} e^{x})

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

不定形式の場合を除く

= x \to \infty lim (x^{3}) \cdot x \to \infty lim (e^{x})

x \to \infty lim (x^{3}) = \infty

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

= \infty \cdot \infty

無限大の特性を適用する:

\infty \infty = \infty

= \infty

グラフ

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