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人気のある微分積分 >

limit as x approaches infinity of (arctan(4x))/8

解

x \to \infty lim (\frac{arctan ( 4 x )}{8})

解

\frac{π}{16}

+1

十進法表記

0.19634 \dots

解答ステップ

x \to \infty lim (\frac{arctan ( 4 x )}{8})

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

= \frac{1}{8} \cdot x \to \infty lim (arctan (4 x))

連鎖法則の制限を適用する:

\frac{π}{2}

= \frac{1}{8} \cdot \frac{π}{2}

簡素化

\frac{1}{8} \cdot \frac{π}{2} : \frac{π}{16}

= \frac{π}{16}

グラフ

人気の例

limit as x approaches 0 of x/(sec(4x))

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