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Beliebt Rechnen >

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

Lösung

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

Lösung

- 1

Schritte zur Lösung

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

x - 5

ist negativ wenn

x \to 5 -

. Deshalb

∣ x - 5 ∣ = - x + 5

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

\frac{- x + 5}{x - 5} = - 1

= x \to 5 - lim (- 1)

x \to a lim c = c

= - 1

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{x ^{2}}{7 x + 4})

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\frac{d}{d x} (\frac{4 x}{6 x - 1})

limit as x approaches 4 of sqrt(2x-7)

x \to 4 lim (2 x - 7)

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\int b x^{2} d x