(arccosx)的1-x的次方 求x趋近1时的左极限

2025-05-09 05:50:12
推荐回答(2个)
回答1:

L=lim(x->1-)(arccosx)^(1-x)
lnL =lim(x->1-)ln(arccosx)/ [1/(1-x)] (∞/∞)
=lim(x->1-) [-1/(arccosx)√(1-x^2)] / [-1/(1-x)^2]
=lim(x->1-) (1-x)/[(arccosx)√(1-x^2)]
=lim(x->1-) √(1-x)/[(arccosx)√(1+x) ]
=0
L =1

回答2: