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用极限定义证明lim(x趋近于2)x^2=4
人气:354 ℃ 时间:2020-01-28 14:29:41
解答
方法一lim(x-->2) (x^2 - 4) = lim(x-->2) (x 2)*(x-2)因为x 2和x-2在x-->2连续,所以lim(x-->2) (x 2)*(x-2) = lim(x-->2) (x 2)* lim(x-->2) (x-2) = (2 2)*(2-2) = 0所以lim(x-->2) (x^2 - 4) = 0即当x趋近于2时,x...
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