求(x^2+x)^1⼀2 -(x^2 -x)^1⼀2 当x趋近正无穷时。的极限

2025-05-16 01:21:55
推荐回答(1个)
回答1:

原式=2x/((x^2+x)^1/2+(x^2 -x)^1/2 )
=2/((1+1/x)^(1/2)+(1-1/x)^(1/2))
=2/(1+1)
=2