Computes a power series expansion.
与 .wl 参考的差异: `Series[x!, {x, 0, n}]` coefficient form is order dependent
可独立核查:此函数的答案会通过另一条途径重新推导并比较——工作台和 verify 工具会自动完成,因此错误答案会被发现而不是被采信。 历史 →
Series[f, {x, x0, n}]
Series[f, x -> x0]
Series[f, {x, x0, n x}, {y, y0, n y}, …]
Series[Exp[x], {x, 0, 4}]
→ SeriesData[x, 0, {1, 1, 1/2, 1/6, 1/24}, 0, 5, 1]Series[1 + x, {x, 0, 3}]
→ SeriesData[x, 0, {1, 1}, 0, 4, 1]Series[x^2 + x^4, {x, 0, 7}]
→ SeriesData[x, 0, {1, 0, 1}, 2, 8, 1]Series[3, {x, 0, 3}]
→ 3Series[a + b, {x, 0, 3}]
→ a + bSeries[1/(1 + x), {x, Infinity, 3}]
→ SeriesData[x, Infinity, {1, -1, 1}, 1, 4, 1]Normal[Series[Sqrt[x^2 + 1], {x, Infinity, 2}]]
→ 1/(2*x) + x- Analytic — default True
- Assumptions — default $Assumptions
- SeriesTermGoal — default Automatic