What is maclaurin 9e^{-x} ?

The answer to maclaurin 9e^{-x} is 9-9x+9/2 x^2-3/2 x^3+3/8 x^4+\ldots

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maclaurin 9e^{-x}

maclaurin

9 e^{- x}

9 - 9 x + \frac{9}{2} x^{2} - \frac{3}{2} x^{3} + \frac{3}{8} x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

= 9 + \frac{\frac{d}{d x} ( 9 e ^{- x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 9 e ^{- x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 9 e ^{- x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 9 + \frac{- 9}{1 !} x + \frac{9}{2 !} x^{2} + \frac{- 9}{3 !} x^{3} + \frac{9}{4 !} x^{4} + \dots

Refine

= 9 - 9 x + \frac{9}{2} x^{2} - \frac{3}{2} x^{3} + \frac{3}{8} x^{4} + \dots

What is maclaurin 9e^{-x} ?
The answer to maclaurin 9e^{-x} is 9-9x+9/2 x^2-3/2 x^3+3/8 x^4+\ldots