limit as x approaches-infinity of 3+4/x

Lösung

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

3

Schritte zur Lösung

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

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

x \to - \infty lim (3) = 3

x \to - \infty lim (\frac{4}{x}) = 0

= 3 + 0

Vereinfache

= 3

x \to 0 lim (\frac{sin ( π ) x}{x})

x \to - 3 lim (\frac{x - 4 x}{1 - x})

x \to - 3 lim ((3 x + 4) (7 x - 9))

x \to 0 lim ((x) (ln (x)))

x \to 0 lim (\frac{5 x + 5}{5})