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问题: 求极限: lim Incotx / Inx

lim
x -0

解答:

x-->+0:
limlncotx/lnx=lim[-(cscx)^2*(1/cotx)/(1/x)]
=lim[-x/(sinxcosx)]
=-lim(x/sinx)*1/limcosx
=-1*1
=-1