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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 negativ wenn

x \to - 1 -

. Deshalb

∣ x + 1 ∣ = - x - 1

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

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

= x \to - 1 - lim (- 1)

x \to a lim c = c

= - 1

Graph

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