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人気のある微分積分 >

limit as x approaches 0 of (sin(10x))/x

解

x \to 0 lim (\frac{sin ( 10 x )}{x})

解

10

解答ステップ

x \to 0 lim (\frac{sin ( 10 x )}{x})

ロピタルの定理を適用する

= x \to 0 lim (\frac{cos ( 10 x ) \cdot 10}{1})

値を挿入する

x = 0

= \frac{cos ( 10 \cdot 0 ) \cdot 10}{1}

簡素化

\frac{cos ( 10 \cdot 0 ) \cdot 10}{1} : 10

= 10

グラフ

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