求极限问题第七题

2025-05-01 06:06:43
推荐回答(1个)
回答1:

(x+1)^(1/3) - (x-1)^(1/3) = ((x+1)-(x-1))/((x+1)^(2/3)+(x+1)^(1/3)*(x-1)^(1/3)+(x-1)^(2/3))
原式=lim(x->无穷)2*x^(2/3)/((x+1)^(2/3)+(x+1)^(1/3)*(x-1)^(1/3)+(x-1)^(2/3))
2/3