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人気のある微分積分 >

limit as x approaches 0+of 1+e^{1/x}

解

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

解

\infty

解答ステップ

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

x \to 0 + lim (1) = 1

x \to 0 + lim (e^{\frac{1}{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 |2x-2|

x \to 1 lim (∣ 2 x - 2 ∣)

limit as x approaches 1-of 4/(x^2-2x+1)

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

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

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

limit as x approaches infinity of sqrt(4x^2+2x)+2x

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

limit as x approaches 0+of e^x+x

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