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Beliebt Rechnen >

limit as x approaches 0+of 2/x-2/(|x|)

Lösung

x \to 0 + lim (\frac{2}{x} - \frac{2}{∣ x ∣})

Lösung

0

Schritte zur Lösung

x \to 0 + lim (\frac{2}{x} - \frac{2}{∣ x ∣})

x

ist positiv wenn

x \to 0 +

. Deshalb

∣ x ∣ = x

= x \to 0 + lim (\frac{2}{x} - \frac{2}{x})

Vereinfache

= x \to 0 + lim (0)

x \to a lim c = c

= 0

Graph

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