What is maclaurin sqrt(1-X) ?

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

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maclaurin sqrt(1-X)

maclaurin

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 Maclaurin 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

t \frac{d x}{d t} - x = 2 t^{2}

\int (8 x) d x

f^{^{''}} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}}

\int \frac{e ^{7 l n (x)}}{x ^{8}} d x

\frac{d}{d x} (\frac{x ^{3} - 3}{2 x + 5})

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