(sinx^3+tanx-sinx)/ln(1+x^3)x趋近于0的极限
问题描述:
(sinx^3+tanx-sinx)/ln(1+x^3)x趋近于0的极限
答
=lim (sinx^3+tanx-sinx)/(x^3) 【等价无穷小代换】=lim (sinx^3 )/(x^3) + lim (tanx-sinx)/(x^3) 【因为按+分开后两部分极限都存在,故可以分开】=lim (x^3 )/(x^3) + lim (sinx / cosx -sinx)/(x^3) 【等价无穷小...