limit as x approaches 0-of (x^3-2)/x

Lösung

x \to 0 - lim (\frac{x ^{3} - 2}{x})

\infty

Schritte zur Lösung

x \to 0 - lim (\frac{x ^{3} - 2}{x})

Multipliziere aus

\frac{x ^{3} - 2}{x} : x^{2} - \frac{2}{x}

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

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

x \to 0 - lim (\frac{2}{x}) = - \infty

= 0 - (- \infty)

Vereinfache

0 - (- \infty) : \infty

= \infty

x \to \infty lim (\frac{5 x ^{4} + 2 x}{x ^{2}})

x \to 0 lim (\frac{( 1 - x ) ^{3} - 1}{x})

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

x \to 5 - lim (\frac{2 - x}{x - 5})

x \to c lim (2 h (x) - 3 g (x))