用洛必达求极限 求详细步骤谢谢

2025-02-26 00:19:57
推荐回答(2个)
回答1:

(1)
lim(x->1)(1-x)tan(πx/2)
=lim(x->1)(1-x)/cot(πx/2)
=lim(x->1)[-1]/[-csc^2(πx/2)*π/2]
=2/π
(2)
lim(x->0)(1-x^2-e^(-x^2)]/xsin^3(2x)
=lim(x->0)(1-x^2-e^(-x^2)]/8x^4
=lim(x->0)(-2x+2xe^(-x^2)]/32x^3
=lim(x->0)(-2+2e^(-x^2)]/32x^2
=lim(x->0)(-4xe^(-x^2)]/64x
=lim(x->0)(-4e^(-x^2)]/64
=1/16
不懂再问,明白请采纳!

回答2:

不会做,貌似应该是高二的吧?