taylor ((1-v))/((1+v))

Lösung

taylor

\frac{( 1 - v )}{( 1 + v )}

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

Schritte zur Lösung

Apply the Taylor Formula

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

Evaluate Derivatives

= 1 + \frac{- 2}{1 !} v + \frac{4}{2 !} v^{2} + \frac{- 12}{3 !} v^{3} + \frac{48}{4 !} v^{4} + \dots

Fasse zusammen

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

d er i v a t i v e f (x) = (0.001 + 2)^{0.001}

x \to \infty lim (e^{- 8 x^{2}})

\int \frac{( 2 x + 5 )}{x ^{2} + 5 x} d x

\frac{d}{d x} (\frac{csc ( x ) tan ( x )}{cos ( x )})

x \to 5 lim (5 x - 4)