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# Taylor Polynomial Coefficient

APCALC-FURZT8

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

A

$-\cfrac { 1 }{ 288 }$

B

$-\cfrac { 1 }{ 144 }$

C

$\cfrac { 1 }{ 64 }$

D

$\cfrac { 1 }{ 24 }$