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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 negativ wenn

x \to 3 -

. Deshalb

∣ x - 3 ∣ = - x + 3

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

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

= x \to 3 - lim (- 1)

x \to a lim c = c

= - 1

Graph

Beliebte Beispiele

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\int \frac{2}{x ^{5}} d x