limit as x approaches 0 of xe^{1/x}-2

解答

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

发散

求解步骤

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

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 e^{\frac{1}{x}} - 2) = \infty

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

= 发散

x \to \infty lim (\frac{9}{2 x})

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

x \to 0 + lim ((3 x + 1)^{\frac{1}{x}})

x \to - \infty lim (0 - (x))

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