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人気のある微分積分 >

limit as x approaches infinity of ((1+9)/x)^{(x/8)}

解

x \to \infty lim ((\frac{1 + 9}{x})^{(\frac{x}{8})})

解

0

解答ステップ

x \to \infty lim ((\frac{1 + 9}{x})^{\frac{x}{8}})

簡素化

= x \to \infty lim ((\frac{10}{x})^{\frac{x}{8}})

指数の規則を適用する

= x \to \infty lim (e^{\frac{x}{8} l n (\frac{10}{x})})

連鎖法則の制限を適用する:

0

= 0

グラフ

人気の例

limit as x approaches infinity of-infinity+ln(2)

x \to \infty lim (- \infty + ln (2))

limit as x approaches 0 of (x+pisec(x))/(x^2-pi^2)

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limit as x approaches infinity of-x+3

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