limit as x approaches 0 of (1+1/x)^{5x}

解答

x \to 0 lim ((1 + \frac{1}{x})^{5 x})

不存在

求解步骤

x \to 0 lim ((1 + \frac{1}{x})^{5 x})

若

x \to a^{-} lim f (x) \neq = x \to a^{+} lim f (x)

则极限不存在

x \to 0 + lim ((1 + \frac{1}{x})^{5 x}) = 1

x \to 0 - lim ((1 + \frac{1}{x})^{5 x}) =

不存在

= 不存在

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