求lim(x趋向于3时)sin(x-3)/(x的平方减9)
人气:363 ℃ 时间:2019-11-19 05:25:33
解答
lim(x趋向于3) sin(x-3)/(x*x-9)=lim(x趋向于3) sin(x-3)/[(x-3)(x+3)]
=[lim(x趋向于3) sin(x-3)/(x-3)]*[lim(x趋向于3)1/(x+3) ]
=1*1/6
=1/6
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