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人気のある微分積分 >

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

解

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

解

- 1

解答ステップ

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

ロピタルの定理を適用する

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

値を挿入する

x = 0

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

簡素化

= - 1

グラフ

人気の例

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

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

limit as x approaches-5 of x^2-6

x \to - 5 lim (x^{2} - 6)

limit as x approaches 5/3 of x^3-2x+3

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

limit as θ approaches 0 of ((sin(2θ)))/θ

θ \to 0 lim (\frac{( sin ( 2 θ ) )}{θ})

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

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