What is taylor sqrt(1-x) ?

The answer to taylor sqrt(1-x) is 1-1/2 x-1/8 x^2-1/16 x^3-5/128 x^4+\ldots

Popular >

taylor sqrt(1-x)

taylor

1 - x

1 - \frac{1}{2} x - \frac{1}{8} x^{2} - \frac{1}{16} x^{3} - \frac{5}{128} x^{4} + \dots

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 1 + \frac{- \frac{1}{2}}{1 !} x + \frac{- \frac{1}{4}}{2 !} x^{2} + \frac{- \frac{3}{8}}{3 !} x^{3} + \frac{- \frac{15}{16}}{4 !} x^{4} + \dots

Refine

= 1 - \frac{1}{2} x - \frac{1}{8} x^{2} - \frac{1}{16} x^{3} - \frac{5}{128} x^{4} + \dots

\int \frac{1}{m ^{3} + m} d m

\frac{d}{d x} (e^{- 6 x} - 6 e^{- 6 x} x)

x \to \infty lim (0.5 3^{2})

\int_{0}^{1} 1 - (x - 1)^{2} d x

\int (- 7 sec^{2} (x)) d x

What is taylor sqrt(1-x) ?
The answer to taylor sqrt(1-x) is 1-1/2 x-1/8 x^2-1/16 x^3-5/128 x^4+\ldots