求极限 lim(sin2x/sin3x)

问题描述:

求极限 lim(sin2x/sin3x)
x->0
x→0

lim(sin2x/sin3x)
=lim(xsin2x/xsin3x)
=lim2/3(3xsin2x/2xsin3x)
=lim2/3(sin2x/2x)/(sin3x/3x)
=2/3lim(sin2x/2x)/lim(sin3x/3x)
=2/3