What is maclaurin x/((3-x)^3) ?

The answer to maclaurin x/((3-x)^3) is 1/27 x+1/27 x^2+2/81 x^3+10/729 x^4+5/729 x^5+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

maclaurin x/((3-x)^3)

maclaurin

\frac{x}{( 3 - x ) ^{3}}

\frac{1}{27} x + \frac{1}{27} x^{2} + \frac{2}{81} x^{3} + \frac{10}{729} x^{4} + \frac{5}{729} x^{5} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

= 0 + \frac{\frac{1}{27}}{1 !} x + \frac{\frac{2}{27}}{2 !} x^{2} + \frac{\frac{4}{27}}{3 !} x^{3} + \frac{\frac{80}{243}}{4 !} x^{4} + \frac{\frac{200}{243}}{5 !} x^{5} + \dots

Refine

= \frac{1}{27} x + \frac{1}{27} x^{2} + \frac{2}{81} x^{3} + \frac{10}{729} x^{4} + \frac{5}{729} x^{5} + \dots

\int_{0}^{7} x e^{- x} d x

x^{2} - 1, - x + 2, 0, 1

x \to \infty lim (x ln (x))

f (x) = ((18 x (x^{2} + 6)^{8}))

\frac{d}{d x} (\frac{- cos ( x )}{4 x ^{2} + 2 x - 3})

What is maclaurin x/((3-x)^3) ?
The answer to maclaurin x/((3-x)^3) is 1/27 x+1/27 x^2+2/81 x^3+10/729 x^4+5/729 x^5+\ldots