limit as x approaches 2 of (x^2-2)/(x-4)

Lösung

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

- 1

Schritte zur Lösung

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

Setze den Wert

x = 2

ein

= \frac{2 ^{2} - 2}{2 - 4}

Vereinfache

\frac{2 ^{2} - 2}{2 - 4} : - 1

= - 1

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

x \to 2 lim ((3 x - 1) (2 x + 5))

t \to 1 lim (2 t - t^{2})

x \to 1 - lim (5 x^{3} + 1)

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