Find the Taylor Series at X = 0 of the Function

Multiple Choice

Find the Taylor series at x = 0 of the function f(x) = x ln(1 + 2x) by computing three or four derivatives and using the definition of the Taylor series.

A) 2 $x ^ { 2 }$ - $\frac { 4 x ^ { 3 } } { 2 }$
B) 2 $x ^ { 2 }$ - $\frac { 4 x ^ { 3 } } { 3 }$
C) $2 x ^ { 2 }$ + $\frac { 4 x ^ { 3 } } { 2 ! }$
D) 2x - $\frac { 4 x ^ { 2 } } { 2 ! }$ + $\frac { 8 x ^ { 3 } } { 3 ! }$
E) none of these