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Beliebt Rechnen >

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

Lösung

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

Lösung

- 1

Schritte zur Lösung

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

3 - x

ist positiv wenn

x \to 3 -

. Deshalb

∣ 3 - x ∣ = 3 - x

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

\frac{3 - x}{x - 3} = - 1

= x \to 3 - lim (- 1)

x \to a lim c = c

= - 1

Graph

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