What is maclaurin 20e^{-x} ?

The answer to maclaurin 20e^{-x} is 20-20x+10x^2-10/3 x^3+5/6 x^4+\ldots

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maclaurin 20e^{-x}

maclaurin

20 e^{- x}

20 - 20 x + 10 x^{2} - \frac{10}{3} x^{3} + \frac{5}{6} x^{4} + \dots

Solution steps

Apply the Maclaurin Formula

= 20 + \frac{\frac{d}{d x} ( 20 e ^{- x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 20 e ^{- x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 20 e ^{- x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 20 + \frac{- 20}{1 !} x + \frac{20}{2 !} x^{2} + \frac{- 20}{3 !} x^{3} + \frac{20}{4 !} x^{4} + \dots

Refine

= 20 - 20 x + 10 x^{2} - \frac{10}{3} x^{3} + \frac{5}{6} x^{4} + \dots

What is maclaurin 20e^{-x} ?
The answer to maclaurin 20e^{-x} is 20-20x+10x^2-10/3 x^3+5/6 x^4+\ldots