limsin(sinx)⼀x x趋近于0怎么算

2025-03-13 07:03:06
推荐回答(1个)
回答1:

lim x->0 sin(sinx) /x (0/0型,应用罗必达法则)
=lim x->0 cos(sinx)*(cosx) / 1
=lim x->0 cos(sinx) cosx
=1