The Taylor Series For $\frac { 1 } { ( 1 - x ) ^ { 2 } }$

Multiple Choice

The Taylor Series for $\frac { 1 } { ( 1 - x ) ^ { 2 } }$ at x = 0 is given by $f ( x ) = 1 + 2 x + 3 x ^ { 2 } + 4 x ^ { 3 } + \ldots$ . Find $f ( 3 ) ( 0 )$

A) 4
B) 3
C) $\frac { 2 } { 3 }$
D) none of these