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人気のある微分積分 >

limit as x approaches 0+of 3(x^{x/2})

解

x \to 0 + lim (3 (x^{\frac{x}{2}}))

解

3

解答ステップ

x \to 0 + lim (3 x^{\frac{x}{2}})

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

= 3 \cdot x \to 0 + lim (x^{\frac{x}{2}})

指数の規則を適用する

= 3 \cdot x \to 0 + lim (e^{\frac{x}{2} l n (x)})

連鎖法則の制限を適用する:

1

= 3 \cdot 1

簡素化

= 3

グラフ

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