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Beliebt Rechnen >

limit as x approaches 8-of (|x-8|)/(x-8)

Lösung

x \to 8 - lim (\frac{∣ x - 8 ∣}{x - 8})

Lösung

- 1

Schritte zur Lösung

x \to 8 - lim (\frac{∣ x - 8 ∣}{x - 8})

x - 8

ist negativ wenn

x \to 8 -

. Deshalb

∣ x - 8 ∣ = - x + 8

= x \to 8 - lim (\frac{- x + 8}{x - 8})

\frac{- x + 8}{x - 8} = - 1

= x \to 8 - lim (- 1)

x \to a lim c = c

= - 1

Graph

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