What is maclaurin 11e^{-x} ?

The answer to maclaurin 11e^{-x} is 11-11x+11/2 x^2-11/6 x^3+11/24 x^4+\ldots

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maclaurin 11e^{-x}

maclaurin

11 e^{- x}

11 - 11 x + \frac{11}{2} x^{2} - \frac{11}{6} x^{3} + \frac{11}{24} x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

= 11 + \frac{\frac{d}{d x} ( 11 e ^{- x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 11 e ^{- x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 11 e ^{- x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 11 + \frac{- 11}{1 !} x + \frac{11}{2 !} x^{2} + \frac{- 11}{3 !} x^{3} + \frac{11}{4 !} x^{4} + \dots

Refine

= 11 - 11 x + \frac{11}{2} x^{2} - \frac{11}{6} x^{3} + \frac{11}{24} x^{4} + \dots

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What is maclaurin 11e^{-x} ?
The answer to maclaurin 11e^{-x} is 11-11x+11/2 x^2-11/6 x^3+11/24 x^4+\ldots