(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
答
为0
答
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