Question

解分式方程x-5/x+1-5-x/1=4

Answer 1

(x-5)/(x+1)+(x-5)/1=4
两边乘x-5
x+1+1=4x-20
3x=22
x=3分之22

Answer 2

即x趋于0
lim(1-x)^(1/3x)=k

令1/a=-x
则1/3x=-a/3
且a趋于无穷
所以k=lim(a→∞)(1+1/a)^(-a/3)
=lim(a→∞)[(1+1/a)^a]^(-1/3)
=e^(-1/3)