求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()

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求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()
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求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()
求极限(给出过程)
lim(x趋于+∞)x[(√x^2+1) -x]= ()

求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()
lim(x趋于+∞)x[(√x^2+1) -x] =lim(x趋于+∞)x[(√x^2+1) -x]*[(√x^2+1) +x] /[(√x^2+1) +x] =lim(x趋于+∞)x/[(√x^2+1) +x] =lim(x趋于+∞)1/[√(1+x^-2) +1] =1/(1+1) =1/2