Find the Taylor Series at X = 0 of the Function

Multiple Choice

Find the Taylor series at x = 0 of the function f(x) = $\frac { 1 } { 1 - 3 x }$ by computing three or four derivatives and using the definition of the Taylor series.

A) 1 - 3x + 9 $x ^ { 2 }$ - 27 $x ^ { 3 }$ + ...
B) 1 + 3x + 9 $x ^ { 2 }$ + 27 $x ^ { 3 }$ + ...
C) 1 + $\frac { 3 x } { 1 }$ x + $\frac { 9 x } { 2 }$ $x ^ { 2 }$ + ...
D) 1 + $( 3 x ) ^ { 2 }$ + $( 3 x ) ^ { 4 }$ + $( 3 x ) ^ { 6 }$ + ...
E) none of these