lncosx⼀lncos3x求极限

2025-06-28 22:11:45
推荐回答(2个)
回答1:

lim[x-->0]lncosx/lncos3x
=lim[x-->0](-sinx/cosx)/(-3sin3x/cos3x)
=1/3lim[x-->0](sinxcos3x)/(cosxsin3x/)
=1/3lim[x-->0]sinx/sin3x
=1/9

回答2:

limx→0,答案1/9