What is maclaurin 2/(1+x) ?

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

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maclaurin 2/(1+x)

maclaurin

\frac{2}{1 + x}

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

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

= 2 + \frac{- 2}{1 !} x + \frac{4}{2 !} x^{2} + \frac{- 12}{3 !} x^{3} + \frac{48}{4 !} x^{4} + \dots

Refine

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

f (x) = \frac{x ^{3} + 2}{3 x}

f (x) = \frac{8}{x}, at x = 36

x \to 2 lim (3 x - 7)

(- e^{t}) + \frac{1}{2} (sin (t)) + \frac{1}{2} (cos (t))

x \to - \frac{π}{2} lim (sec (x))

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