lim (tanx-sinx)/x^2*sinx x趋于0求极限怎么解

问题描述:

lim (tanx-sinx)/x^2*sinx x趋于0求极限怎么解

lim (tanx-sinx)/(x^2*sinx)
= limtanx (1-cosx)/(x^2*sinx) (等价无穷小代换)
= limx (x^2/2)/(x^2*x) = 1/2