What is taylor ln(1-2x) ?

The answer to taylor ln(1-2x) is -2x-2x^2-8/3 x^3-4x^4-32/5 x^5+\ldots

Popular >

taylor ln(1-2x)

taylor

ln (1 - 2 x)

- 2 x - 2 x^{2} - \frac{8}{3} x^{3} - 4 x^{4} - \frac{32}{5} x^{5} + \dots

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 0 + \frac{- 2}{1 !} x + \frac{- 4}{2 !} x^{2} + \frac{- 16}{3 !} x^{3} + \frac{- 96}{4 !} x^{4} + \frac{- 768}{5 !} x^{5} + \dots

Refine

= - 2 x - 2 x^{2} - \frac{8}{3} x^{3} - 4 x^{4} - \frac{32}{5} x^{5} + \dots

y = x + 4

\int \frac{x + 1}{x ^{2} - x - 6} d x

\frac{d}{d x} ((e^{x} + 1)^{7})

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

\frac{\partial}{\partial y} (y e^{x y} - \frac{1}{y})

What is taylor ln(1-2x) ?
The answer to taylor ln(1-2x) is -2x-2x^2-8/3 x^3-4x^4-32/5 x^5+\ldots