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The coefficient of ${ x }^{ 4 }$ in the Taylor series for ${ e }^{ -4x }$ about $x=0$ is

A

$-\cfrac { 8 }{ 3 } $

B

$-\cfrac { 1 }{ 24 } $

C

$\cfrac { 1 }{ 24 } $

D

$\cfrac { 32 }{ 3 } $

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