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

\int - 2 x^{2} + 4 d x

\int (- e^{2 - x}) d x

y d x + x (ln (x) - ln (y) - 1) d y = 0

\int \frac{1}{x ^{2} + 2 x + 50} d x

\frac{( s + 2 )}{( s - 1 ) ( s + 6 )}

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