x趋于无穷 lim(√(x+1)(x+2) - x)(X+1)(X+2)都在根号下0 0

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x趋于无穷lim(√(x+1)(x+2)-x)(X+1)(X+2)都在根号下00x趋于无穷lim(√(x+1)(x+2)-x)(X+1)(X+2)都在根号下00x趋于无穷lim(√(x+1)(x+2)

x趋于无穷 lim(√(x+1)(x+2) - x)(X+1)(X+2)都在根号下0 0
x趋于无穷 lim(√(x+1)(x+2) - x)
(X+1)(X+2)都在根号下0 0

x趋于无穷 lim(√(x+1)(x+2) - x)(X+1)(X+2)都在根号下0 0
3/2

3/2分子有理化

3/2

lim(√(x+1)(x+2) - x)
=lim[√((x+1)(x+2) + x)]/(3x+2)
=lim[√(1+1/x)(1+2/x)+1]/(3+2/x)
=(1+1)/3
=2/3