Find a Power Series Representation for the Function $f ( x ) = \frac { x ^ { 2 } } { 1 - 3 x }$

question 257

Essay

Find a power series representation for the function $f ( x ) = \frac { x ^ { 2 } } { 1 - 3 x }$ .

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Definitions:

Centimeter

A metric system unit of length, totaling one hundredth or 0.01 of a meter.

Weight

The force exerted by gravity on an object, proportional to its mass.

Liters

A metric unit of volume equal to 1,000 cubic centimeters or approximately 0.264 gallons.

Gram

A mass measurement in the metric system, equivalent to 0.001 of a kilogram.