lim (√x2+1)-x除x-(√x2-1)的值

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lim (√x2+1)-x除x-(√x2-1)的值
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lim (√x2+1)-x除x-(√x2-1)的值
lim (√x2+1)-x除x-(√x2-1)的值

lim (√x2+1)-x除x-(√x2-1)的值
(√x2+1)-x=1/[(√x2+1)+x)]
x-(√x2-1)=1/[x+(√x2-1)]
所以x趋于无穷时,
lim (√x2+1)-x除x-(√x2-1)
=lim[x+(√x2-1)]/[√x2+1)+x]
=[x(1+1)]/[(1+1)x]
=1