What is taylor 1/(2-x)+1/(2-3x) ?

The answer to taylor 1/(2-x)+1/(2-3x) is 1+x+5/4 x^2+7/4 x^3+41/16 x^4+\ldots

Popular >

taylor 1/(2-x)+1/(2-3x)

taylor

\frac{1}{2 - x} + \frac{1}{2 - 3 x}

1 + x + \frac{5}{4} x^{2} + \frac{7}{4} x^{3} + \frac{41}{16} x^{4} + \dots

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 1 + \frac{1}{1 !} x + \frac{\frac{5}{2}}{2 !} x^{2} + \frac{\frac{21}{2}}{3 !} x^{3} + \frac{\frac{123}{2}}{4 !} x^{4} + \dots

Refine

= 1 + x + \frac{5}{4} x^{2} + \frac{7}{4} x^{3} + \frac{41}{16} x^{4} + \dots

\int \frac{7 x ^{2} - 6 x + 16}{x ^{3} + 4 x} d x

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 80 cos (8 t)

x \to - 3 lim (x + 3)

(x - 8) y^{^{'}} + y = x^{2} - 6

z \to 0 lim (\frac{z}{tan ( z )})

What is taylor 1/(2-x)+1/(2-3x) ?
The answer to taylor 1/(2-x)+1/(2-3x) is 1+x+5/4 x^2+7/4 x^3+41/16 x^4+\ldots