微积分(求出极限)

2025-05-21 19:12:51
推荐回答(3个)
回答1:

       即m=99,n=1/2;

回答2:

(1)
lim(x->∞) (2x-1)^30.(3x-2)^20/(2x+1)^50
分子分母同时除以x^50
=lim(x->∞) (2 -1/x)^30.(3 -2/x)^20/(2+1/x)^50
=2^30. 3^20 / 2^50
=(3/2)^20
(2)
lim(x->∞) x^99/ [x^m -(x+1)^m ] =n
lim(x->∞) x^99/ [ -mx^(m-1) ] =n
=>
m-1 = 99 and -1/m =n
m=100 and n = -1/100

回答3:

这样子?。。。。。。