I am trying to expand a function in power series, but Mathematica is expanding the numerator and the denominator separately.
Series(-((
0.0435275 (18 - 20 Cos(ky) + 2 Cos(2 ky)))/((1 -
Cos(ky))^0.2 (3.03143 (1 - Cos(ky))^1.6 + Sin(ky)^2)^(
3/2))), {ky, 0, 6})
The output is
SeriesData(ky, 0, {-0.2999998058828007, 0, -0.029999980588280066`, 0,
0.006999995470598682}, 2, 7, 1)/((ky^2)^0.2 ((
SeriesData(ky, 0, {1, 0,
Rational(-1, 3), 0,
Rational(2, 45)}, 2, 7, 1)) + (ky^2)^1.6 (
SeriesData(
ky, 0, {0.9999989664885686, 0., -0.13333319553180914`, 0.,
0.007777769739355534, 0., -0.00026454999113454205`}, 0, 7,
1)))^(3/2))
How do I expand the function as a power series about ky = 0
?
Note: The function diverges at ky = 0, and ky is a real quantity.