limit as x approaches 5 of (5x)/(x-5)

解答

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

发散

求解步骤

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

若

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

则极限不存在

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

x \to 5 - lim (\frac{5 x}{x - 5}) = - \infty

= 发散

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