Computes the limit of an expression as a variable approaches a value.
與 .wl 參考的差異： `Limit` returns wrong values for factorial growth
可獨立核查：此函式的答案會透過另一條途徑重新推導並比較——工作臺和 verify 工具會自動完成，因此錯誤答案會被發現而不是被採信。 歷史 →
Limit[f, x -> x *]
Limit[f, {x1 -> , …, xn -> }]
Limit[f, {x1, …, xn} -> {, …, }]
Limit[(1 + 1/n)^n, n -> Infinity]
→ ELimit[(Sin[x] - x)/x^3, x -> 0]
→ -1/6Limit[x/(x + Sqrt[x]), x -> Infinity]
→ 1Limit[(3 x^(3/2) + x)/(2 x^(3/2) - 1), x -> Infinity]
→ 3/2Limit[(a x + b)/(c x + d), x -> Infinity]
→ a/cLimit[(x + Sqrt[x])/(x - Sqrt[x]), x -> 0]
→ -1Limit[1/x^2, x -> 0]
→ InfinityLimit[1/x^3, x -> 0]
→ IndeterminateLimit[1/x, x -> 0, Direction -> "FromAbove"]
→ Infinity- Assumptions — default $Assumptions
- Direction — default Reals
- GenerateConditions — default Automatic
- Method — default Automatic
- PerformanceGoal — default "Quality"