Creating power series from geometric series using differentiation and integration practice problems.

Problem

Since
space, start fraction, 3, divided by, 1, plus, 3, x, end fraction, equals, 3, minus, 9, x, plus, 27, x, start superscript, 2, end superscript, minus, 81, x, start superscript, 3, end superscript, plus, point, point, point
for  x(13,13)~\displaystyle x\in\left(-\frac{1}{3},\frac{1}{3}\right), which of the following functions has
space, 3, x, minus, start fraction, 9, divided by, 2, end fraction, x, start superscript, 2, end superscript, plus, 9, x, start superscript, 3, end superscript, minus, start fraction, 81, divided by, 4, end fraction, x, start superscript, 4, end superscript, plus, point, point, point
as its power series?
Please choose from one of the following options.