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Beliebt Rechnen >

limit as x approaches 0 of ((1+x)^9-1)/x

Lösung

x \to 0 lim (\frac{( 1 + x ) ^{9} - 1}{x})

Lösung

9

Schritte zur Lösung

x \to 0 lim (\frac{( 1 + x ) ^{9} - 1}{x})

Vereinfache

\frac{( 1 + x ) ^{9} - 1}{x} : (x^{2} + 3 x + 3) ((x + 1)^{6} + (x + 1)^{3} + 1)

= x \to 0 lim ((x^{2} + 3 x + 3) ((x + 1)^{6} + (x + 1)^{3} + 1))

Setze den Wert

x = 0

ein

= (0^{2} + 3 \cdot 0 + 3) ((0 + 1)^{6} + (0 + 1)^{3} + 1)

Vereinfache

(0^{2} + 3 \cdot 0 + 3) ((0 + 1)^{6} + (0 + 1)^{3} + 1) : 9

= 9

Graph

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