limit as x approaches-2 of ((8x^3-16x^2-64x))/(x^2+2x)

Lösung

x \to - 2 lim (\frac{( 8 x ^{3} - 16 x ^{2} - 64 x )}{x ^{2} + 2 x})

- 48

Schritte zur Lösung

x \to - 2 lim (\frac{8 x ^{3} - 16 x ^{2} - 64 x}{x ^{2} + 2 x})

Vereinfache

\frac{8 x ^{3} - 16 x ^{2} - 64 x}{x ^{2} + 2 x} : 8 (x - 4)

= x \to - 2 lim (8 (x - 4))

Setze den Wert

x = - 2

ein

= 8 (- 2 - 4)

Vereinfache

= - 48

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