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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 positiv wenn

x \to 8 +

. Deshalb

∣ x - 8 ∣ = x - 8

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

Vereinfache

= x \to 8 + lim (1)

x \to a lim c = c

= 1

Graph

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