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Beliebt Rechnen >

limit as x approaches 2 of ((x^6-64))/(x-2)

Lösung

x \to 2 lim (\frac{( x ^{6} - 64 )}{x - 2})

Lösung

192

Schritte zur Lösung

x \to 2 lim (\frac{x ^{6} - 64}{x - 2})

Vereinfache

\frac{x ^{6} - 64}{x - 2} : (x + 2) (x^{4} + 4 x^{2} + 16)

= x \to 2 lim ((x + 2) (x^{4} + 4 x^{2} + 16))

Setze den Wert

x = 2

ein

= (2 + 2) (2^{4} + 4 \cdot 2^{2} + 16)

Vereinfache

(2 + 2) (2^{4} + 4 \cdot 2^{2} + 16) : 192

= 192

Graph

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