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Beliebt Rechnen >

limit as x approaches 1+of (x-1)/(|x-1|)

Lösung

x \to 1 + lim (\frac{x - 1}{∣ x - 1 ∣})

Lösung

1

Schritte zur Lösung

x \to 1 + lim (\frac{x - 1}{∣ x - 1 ∣})

x - 1

ist positiv wenn

x \to 1 +

. Deshalb

∣ x - 1 ∣ = x - 1

= x \to 1 + lim (\frac{x - 1}{x - 1})

Vereinfache

= x \to 1 + lim (1)

x \to a lim c = c

= 1

Graph

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