x趋向无穷.√x(√(x+1) -√x)的极限
问题描述:
x趋向无穷.√x(√(x+1) -√x)的极限
答
lim(x→0)√x[√(x+1) - √x]
= lim(x→0)√x/[√(x+1) + √x]
= lim(x→0)1/[√(1+1/x) + 1]
= 1/2