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Beliebt Rechnen >

limit as h approaches 1/2 of (8h^3-1)/(1-2h)

Lösung

h \to \frac{1}{2} lim (\frac{8 h ^{3} - 1}{1 - 2 h})

Lösung

- 3

Schritte zur Lösung

h \to \frac{1}{2} lim (\frac{8 h ^{3} - 1}{1 - 2 h})

Vereinfache

\frac{8 h ^{3} - 1}{1 - 2 h} : - 4 h^{2} - 2 h - 1

= h \to \frac{1}{2} lim (- 4 h^{2} - 2 h - 1)

Setze den Wert

h = \frac{1}{2}

ein

= - 4 (\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} - 1

Vereinfache

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

= - 3

Graph

Beliebte Beispiele

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