用洛必达法则求这三个题~谁帮我解一下呀,谢谢~

2025-05-13 16:57:30
推荐回答(1个)
回答(1):

(3) lim(x->a) (sinx-sina)/(x-a)= lim(x->a) cosx = cosa
(4) lim(x->0) tan(3x)/tan(5x) = lim(x->0) 3[sec(3x)]^2/{ 5[sec(5x)]^2 } =3/5
(5)
lim(x->π/2) ln(sinx)/(π-2x)^2
=lim(x->π/2) [cosx/sinx] /[-4(π-2x)]
=lim(x->π/2) cotx /[-4(π-2x)]
=lim(x->π/2) -(cscx)^2 /8
= -1/8