lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)

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lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)
lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)

lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)
lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)
=lim(x趋向于正无穷) (根号x^2+x -根号x^2+1)(根号x^2+x +根号x^2+1)/(根号x^2+x +根号x^2+1)
=lim(x趋向于正无穷) (x^2+x -(x^2+1))/(根号x^2+x +根号x^2+1)
=lim(x趋向于正无穷) (x-1)/(根号x^2+x +根号x^2+1)
=lim(x趋向于正无穷) (1-1/x)/(根号1+1/x +根号1+1/x^2)
=(1-0)/(1+1)
=1/2