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人気のある微分積分 >

limit as h approaches 0 of h/(e^h-1)

解

h \to 0 lim (\frac{h}{e ^{h} - 1})

解

1

解答ステップ

h \to 0 lim (\frac{h}{e ^{h} - 1})

ロピタルの定理を適用する

= h \to 0 lim (\frac{1}{e ^{h}})

値を挿入する

h = 0

= \frac{1}{e ^{0}}

簡素化

= 1

グラフ

人気の例

limit as x approaches-3 of (x^2-2)/(x+1)

x \to - 3 lim (\frac{x ^{2} - 2}{x + 1})

limit as x approaches 0-of (1-e^x)^{2x}

x \to 0 - lim ((1 - e^{x})^{2 x})

limit as x approaches 5 of x/(x^2+1)

x \to 5 lim (\frac{x}{x ^{2} + 1})

limit as x approaches 0 of (3x-1)/(x-2)

x \to 0 lim (\frac{3 x - 1}{x - 2})

limit as x approaches-1 of 5x^3-x^2+3x+7

x \to - 1 lim (5 x^{3} - x^{2} + 3 x + 7)