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当x趋向0 (cotx-1/x)的极限
人气:388 ℃ 时间:2020-04-15 16:04:51
解答
当x趋向0 (cotx-1/x)的极限
=lim(x->0)(cosx/sinx-1/x)
=lim(x->0)(xcosx-sinx)/xsinx
=lim(x->0)(xcosx-sinx)/x^2
=lim(x->0)(-xsinx)/2x
=lim(x->0)(-x^2)/2x
=0
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