limit as x approaches 0 of x^5*ln(x)

解答

x \to 0 lim (x^{5} \cdot ln (x))

不存在

求解步骤

x \to 0 lim (x^{5} ln (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^{5} ln (x)) = 0

x \to 0 - lim (x^{5} ln (x)) =

不存在

= 不存在

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

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x \to 0 + lim ((tan (x))^{2 x})

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

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