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Maclaurin Polynomial of $e^{2x}$

APCALC-CINAX2

Find the Maclaurin polynomial for $f( x ) ={ e }^{ 2x }$ with degree $4$.

A

$1+2x+{ 2x }^{ 2 }+\cfrac{ 4x^{ 3 }}{3}+\cfrac{2x^{ 4 }}{3}$

B

$1+x+\cfrac{x^2}{2}+\cfrac{x^3}{6}+\cfrac{x^4}{24}$

C

$2+2x+{ x }^{ 2 }+\cfrac{x^3}{3}+\cfrac{x^4}{12}$

D

$1+2( x-2 ) +2( x-2 )^2 +\cfrac{4( x-2 )^3}{3} +\cfrac{2( x-2 )^4}{3}$