limit as x approaches 3 of (x^3-3x^2)/(5x-15)

Lösung

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

\frac{9}{5}

Dezimale

1.8

Schritte zur Lösung

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

Vereinfache

\frac{x ^{3} - 3 x ^{2}}{5 x - 15} : \frac{x ^{2}}{5}

= x \to 3 lim (\frac{x ^{2}}{5})

Setze den Wert

x = 3

ein

= \frac{3 ^{2}}{5}

Vereinfache

= \frac{9}{5}

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