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Beliebt Rechnen >

limit as x approaches 3+of (x-3)/(|x-3|)

Lösung

x \to 3 + lim (\frac{x - 3}{∣ x - 3 ∣})

Lösung

1

Schritte zur Lösung

x \to 3 + lim (\frac{x - 3}{∣ x - 3 ∣})

x - 3

ist positiv wenn

x \to 3 +

. Deshalb

∣ x - 3 ∣ = x - 3

= x \to 3 + lim (\frac{x - 3}{x - 3})

Vereinfache

= x \to 3 + lim (1)

x \to a lim c = c

= 1

Graph

Beliebte Beispiele

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