Lim(x-sinx)/xln(1+x^2) x趋近于0
问题描述:
Lim(x-sinx)/xln(1+x^2) x趋近于0
答
Lim(x→0) (x-sinx)/xln(1+x^2)
=Lim(x→0) (x-sinx)/x^3 (0/0)
=Lim(x→0) (1-cosx)/(3x^2)
=Lim(x→0) (x^2/2)/(3x^2)
=1/6