limit as x approaches 0 of x^2*e^{1/x}

解答

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

发散

求解步骤

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

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

= 发散

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