The expression is
.
The maclaurin series of
,
and
,
.
Use multiplication of the power series to find
.

Four terms are probably enough for product of two polynomials.
\

Find first three nonzero terms that is upto
term.
.
Product of the two power series upto three nonzero terms is
.
Product of the two power series upto three nonzero terms is
.