What is maclaurin 8/(3x+3) ?

The answer to maclaurin 8/(3x+3) is 8/3-8/3 x+8/3 x^2-8/3 x^3+8/3 x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

maclaurin 8/(3x+3)

maclaurin

\frac{8}{3 x + 3}

\frac{8}{3} - \frac{8}{3} x + \frac{8}{3} x^{2} - \frac{8}{3} x^{3} + \frac{8}{3} x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

= \frac{8}{3} + \frac{\frac{d}{d x} ( \frac{8}{3 x + 3} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( \frac{8}{3 x + 3} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( \frac{8}{3 x + 3} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= \frac{8}{3} + \frac{- \frac{8}{3}}{1 !} x + \frac{\frac{16}{3}}{2 !} x^{2} + \frac{- 16}{3 !} x^{3} + \frac{64}{4 !} x^{4} + \dots

Refine

= \frac{8}{3} - \frac{8}{3} x + \frac{8}{3} x^{2} - \frac{8}{3} x^{3} + \frac{8}{3} x^{4} + \dots

What is maclaurin 8/(3x+3) ?
The answer to maclaurin 8/(3x+3) is 8/3-8/3 x+8/3 x^2-8/3 x^3+8/3 x^4+\ldots