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求函数的极限lim((x→x/2)cosx)/(cos(x/2)-sin(x/2))
人气:320 ℃ 时间:2019-08-20 20:01:46
解答
x->π/2吧对分子cosx=sin(π/2-x)因为π/2-x ->0所以sin(π/2-x)~(π/2-x)对分母cos(x/2)-sin(x/2)=√2[((√2)/2)cos(x/2)-((√2)/2)sin(x/2)]=√2[sin(π/4)cos(x/2)-cos(π/4)sin(x/2)]=√2 sin(π/4-x/2)=√2 sin...
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