x趋近于0时,lim(x-sin(3x))/(x+sinx)
问题描述:
x趋近于0时,lim(x-sin(3x))/(x+sinx)
答
lim(x→0)(x-sin(3x))/(x+sinx)(这是0/0型,运用洛必达法则)
=lim(x→0)(1-3cos3x)/(1+cosx)
=-1