limit as x approaches infinity of 2-3/x

Lösung

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

2

Schritte zur Lösung

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

x \to \infty lim (2) = 2

x \to \infty lim (\frac{3}{x}) = 0

= 2 - 0

Vereinfache

= 2

x \to 0 - lim (a x^{2} + 2)

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

x \to - 1 lim (- 2 x^{3} + 3 x^{2} + x + 1)

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

x \to 0 lim (xx)