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Beliebt Rechnen >

limit as x approaches-3 of (x^3+27)/(x^2+13x+30)

Lösung

x \to - 3 lim (\frac{x ^{3} + 27}{x ^{2} + 13 x + 30})

Lösung

\frac{27}{7}

+1

Dezimale

3.85714 \dots

Schritte zur Lösung

x \to - 3 lim (\frac{x ^{3} + 27}{x ^{2} + 13 x + 30})

Vereinfache

\frac{x ^{3} + 27}{x ^{2} + 13 x + 30} : \frac{x ^{2} - 3 x + 9}{x + 10}

= x \to - 3 lim (\frac{x ^{2} - 3 x + 9}{x + 10})

Setze den Wert

x = - 3

ein

= \frac{( - 3 ) ^{2} - 3 ( - 3 ) + 9}{- 3 + 10}

Vereinfache

\frac{( - 3 ) ^{2} - 3 ( - 3 ) + 9}{- 3 + 10} : \frac{27}{7}

= \frac{27}{7}

Graph

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