lim(x ->0)sin x /x ^3+3x

问题描述:

lim(x ->0)sin x /x ^3+3x

lim(x ->0)sin x /x ^3+3x
=lim(x ->0)sin x /[x(x ^2+3)]
=lim(x ->0)x /[x(x ^2+3)]
=lim(x ->0)1 /(x ^2+3)
=1/3