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Beliebt Rechnen >

taylor 3/(1-x)

Lösung

taylor

\frac{3}{1 - x}

Lösung

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

Schritte zur Lösung

Apply the Taylor Formula

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

Evaluate Derivatives

= 3 + \frac{3}{1 !} x + \frac{6}{2 !} x^{2} + \frac{18}{3 !} x^{3} + \frac{72}{4 !} x^{4} + \dots

Fasse zusammen

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

Beliebte Beispiele

steigung (-4,-4),(5,-7)

s l o p e (- 4, - 4), (5, - 7)

y^{''}+2y^'+y=x^3

y^{^{''}} + 2 y^{^{'}} + y = x^{3}

integral of xsqrt(5-x^2)

\int x 5 - x^{2} d x

integral of e^{-st}(3t)

\int e^{- s t} (3 t) d t

integral of 5x(sqrt(x)-x^2)

\int 5 x (x - x^{2}) d x