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Popular >

taylor 1/(1+1x)

Solution

taylor

\frac{1}{1 + 1 x}

Solution

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

Solution steps

Apply the Taylor Formula

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

Refine

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

Popular Examples

y^{^{'}} + t y = t

derivative of x^2-3 derivative of

x^{2} - 3

y^'+1/x y= 1/(x^2)

y^{^{'}} + \frac{1}{x} y = \frac{1}{x ^{2}}

taylor ln(3x-2)taylor

ln (3 x - 2)

integral of 3/(sqrt(x))

\int \frac{3}{x} d x

Frequently Asked Questions (FAQ)

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