1-cosx除以x的三次方,x趋近于0的极限

1-cosx除以x的三次方,x趋近于0的极限
2025-06-22 07:55:00
推荐回答(2个)
回答1:

(x→0)lim{(1-cosx)/x³}
= (x→0)lim{[1-1+2sin²(x/2)]/x³}
= (x→0)lim{2sin²(x/2)]/8*(x/2)³}
= (x→0)lim{sin²(x/2)]/4*(x/2)³}

= (x→0)lim{(x/2)²]/4*(x/2)³}

= +∞

回答2:

洛必达法则呀