lim x~0 x-sin3x⼀x sin5x

2025-01-19 20:31:06
推荐回答(1个)
回答1:

-1/3

解析:

(x-sin3x)/(x+sin5x)
x→0时,A/B=0/0型

使用洛必达法则,
lim(x-sin3x)/(x+sin5x)
=lim(1-3cos3x)/(1+5cos5x)
=(1-3)/(1+5)
=-1/3