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((x^2+2x)^½-(x-1)^½)/x的x趋于正无穷的极限
人气:294 ℃ 时间:2020-10-22 17:43:43
解答
lim((x^2+2x)^½-(x-1)^½)/x (x→﹢∞)
=lim(x^2+2x)^½/x-lim(x-1)^½/x (x→﹢∞)
=lim(1+2/x)^½-lim(1/x-1/x^2)^½(x→﹢∞)
=1-0
=1
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