limit as x approaches-infinity of e^x-5

Lösung

x \to - \infty lim (e^{x} - 5)

- 5

Schritte zur Lösung

x \to - \infty lim (e^{x} - 5)

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 (e^{x}) - x \to - \infty lim (5)

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

x \to - \infty lim (5) = 5

= 0 - 5

Vereinfache

= - 5

x \to 0 lim (\frac{2}{3 + e ^{\frac{1}{x}}})

x \to \infty lim (2 - 3 x^{2})

x \to 0 lim (\frac{4 - 4 cos ( x )}{x ^{2}})

x \to 0 lim (\frac{2 ∣ x ∣}{2 x})

x \to 3 lim (\frac{5 x}{4} + 3)