lim(x→0 )(arctanx/x)^(1/x^2)求极限
问题描述：
lim(x→0 )(arctanx/x)^(1/x^2)求极限
求lim(x→0 )(arctanx/x)^(1/x^2)
答
lim(x→0 )(arctanx/x)^(1/x^2)
=e^lim(x->0)(1/x^2)*ln(arctanx/x)
=e^(-1/3)
lim(x->0)(1/x^2)*ln(arctanx/x)求法详见: