为什么当x趋于0时,(1+x^2)^1/3-1与1/3x^2是等价无穷小?
举一反三
- 当x趋于0时,lim(1+X)^(1/X^2)和lim(1+X)^(1/X^3)中无穷大量是?
- cos(πx/2)与(π/2)(1-x)是等价无穷小?(x趋于1)
- 假设原始问题为: max z=2x 1 -x 2 +3x 3 -2x 4 s.t. x 1 +3x 2 - 2x 3 + x 4 ≤12 -2x 1 + x 2 -3x 4 ≥8 3x 1 - 4x 2 +5x 3 - x 4 = 15 x 1 ≥0, x 2 :Free, x 3 ≤0, x 4 ≥0 则对偶问题中约束条件及决策变量的符号依次为: min y=12w 1 +8w 2 +15w 3 s.t. w 1 - 2w 2 + 3w 3 ( ) 2 3w 1 + w 2 - 4w 3 ( ) -1 -2w 1 +5w 3 ≤3 w 1 - 3w 2 - w 3 ≥-2 w 1 () 0,w 2 () 0, w 3 :Free
- 方程y'(x) = x^2 - 3x + 2 的平衡点是 A: x = 1, x = 2 B: x = 3, x = 2 C: x = 3, x = 1 D: x = 3, x = 0
- x趋于零(1+ax^2)^1/3-1和cosx-1是等价无穷小求a的值.