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Beliebt Rechnen >

taylor 8/(1-x)

Lösung

taylor

\frac{8}{1 - x}

Lösung

8 + 8 x + 8 x^{2} + 8 x^{3} + 8 x^{4} + \dots

Schritte zur Lösung

Apply the Taylor Formula

= 8 + \frac{\frac{d}{d x} ( \frac{8}{1 - x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( \frac{8}{1 - x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( \frac{8}{1 - x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 8 + \frac{8}{1 !} x + \frac{16}{2 !} x^{2} + \frac{48}{3 !} x^{3} + \frac{192}{4 !} x^{4} + \dots

Fasse zusammen

= 8 + 8 x + 8 x^{2} + 8 x^{3} + 8 x^{4} + \dots

Beliebte Beispiele

integral of (x^5-x^3+2x)/(x^4)

\int \frac{x ^{5} - x ^{3} + 2 x}{x ^{4}} d x

limit as x approaches 5 of x-4

x \to 5 lim (x - 4)

integral of sin(ln(7x))

\int sin (ln (7 x)) d x

derivative of 4x^8

\frac{d}{d x} (4 x^{8})

derivative-cot(x)csc(x)

d er i v a t i v e - cot (x) csc (x)