What is maclaurin ((z-2))/(z-1) ?

The answer to maclaurin ((z-2))/(z-1) is 2+z+z^2+z^3+z^4+\ldots

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maclaurin ((z-2))/(z-1)

maclaurin

\frac{( z - 2 )}{z - 1}

2 + z + z^{2} + z^{3} + z^{4} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

= 2 + \frac{1}{1 !} z + \frac{2}{2 !} z^{2} + \frac{6}{3 !} z^{3} + \frac{24}{4 !} z^{4} + \dots

Refine

= 2 + z + z^{2} + z^{3} + z^{4} + \dots

y = 5 - 2 t

\int_{0}^{1} (x - 1)^{3} - (x - 1) d x

\frac{1}{s \cdot ( s ^{2} + \frac{9}{2} s + 15 )}

\int 2 - 1 (e - x + 2) d x

f (x) = 3 + 2 x^{3}

What is maclaurin ((z-2))/(z-1) ?
The answer to maclaurin ((z-2))/(z-1) is 2+z+z^2+z^3+z^4+\ldots