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

lim(x→0)√x[√(x+1) - √x]
  = lim(x→0)√x/[√(x+1) + √x]
  = lim(x→0)1/[√(1+1/x) + 1]
  = 1/2