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人気のある微分積分 >

limit as x approaches infinity of 1-e^x

解

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

解

- \infty

解答ステップ

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

不定形式の場合を除く

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

x \to \infty lim (1) = 1

x \to \infty lim (e^{x}) = \infty

= 1 - \infty

無限大の特性を適用する:

c - \infty = - \infty

= - \infty

グラフ

人気の例

limit as x approaches-1 of x^2+4

x \to - 1 lim (x^{2} + 4)

integral of 1/(5+sqrt(2x))

\int \frac{1}{5 + 2 x} d x

面積 y= 5/x ,y= 5/(x^2),x=6

a re a y = \frac{5}{x}, y = \frac{5}{x ^{2}}, x = 6

limit as x approaches 0 of x^{x^x}

x \to 0 lim (x^{x^{x}})

(x^2+1)(dy)/(dx)+xy-x=0

(x^{2} + 1) \frac{d y}{d x} + x y - x = 0