maclaurin 1/(x+1)

Lösung

maclaurin

\frac{1}{x + 1}

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

Schritte zur Lösung

Apply the Maclaurin Formula

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

\int (3 x^{2} + 1) d x

\int sin^{2} (\frac{π x}{L}) d x

t^{2} y^{^{''}} - 3 t y^{^{'}} + 4 y = 0

\frac{\partial}{\partial y} ((x + y)^{5} + (x - y)^{5})

t an g e n t f (x) = x^{2} + 5, (- 5, 30)