lim趋近∞，根号x-1分之根号x+1+根号x等于多少

更新时间2022-01-19 00:36:51

lim【x→∞】[√(x+1)/√(x-1)+√x]

=lim【x→∞】(1+√x)不收敛

.

【若】

lim【x→∞】{[√(x+1)+√x]/√(x-1)}

=lim【x→∞】{[√(1+1/x)+1]/√(1-1/x)}

=[√(1+0)+1]/√(1-0)

=2