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人気のある微分積分 >

limit as x approaches 0 of (5x)/(sin(x))

解

x \to 0 lim (\frac{5 x}{sin ( x )})

解

5

解答ステップ

x \to 0 lim (\frac{5 x}{sin ( x )})

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

= 5 \cdot x \to 0 lim (\frac{x}{sin ( x )})

ロピタルの定理を適用する

= 5 \cdot x \to 0 lim (\frac{1}{cos ( x )})

値を挿入する

x = 0

= 5 \cdot \frac{1}{cos ( 0 )}

簡素化

5 \cdot \frac{1}{cos ( 0 )} : 5

= 5

グラフ

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