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Beliebt Rechnen >

maclaurin (1+x)^{-1}

Lösung

maclaurin

(1 + x)^{- 1}

Lösung

1 - x + x^{2} - x^{3} + x^{4} + \dots

Schritte zur Lösung

Apply the Maclaurin Formula

= 1 + \frac{\frac{d}{d x} ( ( 1 + x ) ^{- 1} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( ( 1 + x ) ^{- 1} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( ( 1 + x ) ^{- 1} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{- 1}{1 !} x + \frac{2}{2 !} x^{2} + \frac{- 6}{3 !} x^{3} + \frac{24}{4 !} x^{4} + \dots

Fasse zusammen

= 1 - x + x^{2} - x^{3} + x^{4} + \dots

Beliebte Beispiele

integral of (2x)/(x^2-16)+1/x+2

\int \frac{2 x}{x ^{2} - 16} + \frac{1}{x} + 2 d x

y^{^{'}} = x

integral from 0 to 1 of 8e^{-4x}

\int_{0}^{1} 8 e^{- 4 x} d x

integral of-y/x

\int - \frac{y}{x} d x

inverselaplace 3/((s+1))

in v erse l a pl a ce \frac{3}{( s + 1 )}