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The coefficient of the ${ \left( x-8 \right) }^{ 2 }$ term in the Taylor polynomial for $f\left( x \right) ={ x }^{ \frac { 1 }{ 3 } }$ about $x=8$ is

$-\cfrac { 1 }{ 288 } $

$-\cfrac { 1 }{ 144 } $

$\cfrac { 1 }{ 64 } $

$\cfrac { 1 }{ 24 } $