lim(x+sinx)/(3x-arctanx)(x趋于无穷)

问题描述:

lim(x+sinx)/(3x-arctanx)(x趋于无穷)

上下同除以x
=lim (1+sinx/x)/(3-arctanx/x)
=lim (1+0)/(3-0)
=1/3