limit as x approaches-infinity of xe^x-1

Lösung

x \to - \infty lim (x e^{x} - 1)

- 1

Schritte zur Lösung

x \to - \infty lim (x e^{x} - 1)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to - \infty lim (x e^{x}) - x \to - \infty lim (1)

x \to - \infty lim (x e^{x}) = 0

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

= 0 - 1

Vereinfache

= - 1

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