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Approximating ${ e }^{ \frac { 1 }{ 2 } }$

APCALC-VSPK0@

Approximate ${ e }^{ \frac { 1 }{ 2 } }$ using the 3rd degree Taylor Polynomial for $f\left( x \right) ={ e }^{ x }$ centered at $0$.

A

$\cfrac { 33 }{ 20 }$

B

$\cfrac { 79 }{ 48 }$

C

$\cfrac { 13 }{ 8 }$

D

$\cfrac { 77 }{ 48 }$