limit as x approaches 0+of (|x-0|)/(0-x)

Lösung

x \to 0 + lim (\frac{∣ x - 0 ∣}{0 - x})

- 1

Schritte zur Lösung

x \to 0 + lim (\frac{∣ x - 0 ∣}{0 - x})

x - 0

ist positiv wenn

x \to 0 +

. Deshalb

∣ x - 0 ∣ = x - 0

= x \to 0 + lim (\frac{x - 0}{0 - x})

Vereinfache

= x \to 0 + lim (- 1)

x \to a lim c = c

= - 1

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