What is maclaurin 1/((1+x)^3) ?

The answer to maclaurin 1/((1+x)^3) is 1-3x+6x^2-10x^3+15x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

maclaurin 1/((1+x)^3)

maclaurin

\frac{1}{( 1 + x ) ^{3}}

1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

= 1 + \frac{- 3}{1 !} x + \frac{12}{2 !} x^{2} + \frac{- 60}{3 !} x^{3} + \frac{360}{4 !} x^{4} + \dots

Refine

= 1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} + \dots

ln (\frac{4 x + 3}{3 x - 5})

\int_{0}^{3} ∣ 2 x - 1 ∣ d x

(x^{2} + 1) \frac{d y}{d x} = x y

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

\int_{2}^{\infty} - 5 x^{- 2} d x

What is maclaurin 1/((1+x)^3) ?
The answer to maclaurin 1/((1+x)^3) is 1-3x+6x^2-10x^3+15x^4+\ldots