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人気のある微分積分 >

limit as x approaches 0 of (xe^x)/(sin(x))

解

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

解

1

解答ステップ

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

ロピタルの定理を適用する

= x \to 0 lim (\frac{e ^{x} + e ^{x} x}{cos ( x )})

値を挿入する

x = 0

= \frac{e ^{0} + e ^{0} \cdot 0}{cos ( 0 )}

簡素化

\frac{e ^{0} + e ^{0} \cdot 0}{cos ( 0 )} : 1

= 1

グラフ

人気の例

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