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人気のある微分積分 >

limit as x approaches 0 of sin^2(x)(1/x)

解

x \to 0 lim (sin^{2} (x) (\frac{1}{x}))

解

0

解答ステップ

x \to 0 lim (sin^{2} (x) \frac{1}{x})

簡素化

sin^{2} (x) \frac{1}{x} : \frac{sin ^{2} ( x )}{x}

= x \to 0 lim (\frac{sin ^{2} ( x )}{x})

ロピタルの定理を適用する

= x \to 0 lim (\frac{sin ( 2 x )}{1})

値を挿入する

x = 0

= \frac{sin ( 2 \cdot 0 )}{1}

簡素化

\frac{sin ( 2 \cdot 0 )}{1} : 0

= 0

グラフ

人気の例

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