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

Lösung

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

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

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

Vereinfache

\frac{x ^{2} - 2 x}{3 x} : \frac{1}{3} (x - 2)

= x \to 0 lim (\frac{1}{3} (x - 2))

Setze den Wert

x = 0

ein

= \frac{1}{3} (0 - 2)

Vereinfache

\frac{1}{3} (0 - 2) : - \frac{2}{3}

= - \frac{2}{3}

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