(tanx-sinx)/ln(1-x^3),当x趋于0时它的极限

问题描述:

(tanx-sinx)/ln(1-x^3),当x趋于0时它的极限

原式=lim(x→0)tanx(1-cosx)/(-x^3)
=lim(x→0)[x(x^2/2)]/(-x^3)
=lim(x→0)(x^3/2)/(-x^3)
=-1/2