lim(x→0 )(arctanx/x)^(1/x^2)求极限求lim(x→0 )(arctanx/x)^(1/x^2)

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lim(x→0)(arctanx/x)^(1/x^2)求极限求lim(x→0)(arctanx/x)^(1/x^2)lim(x→0)(arctanx/x)^(1/x^2)求极限求lim(x→0)(ar

lim(x→0 )(arctanx/x)^(1/x^2)求极限求lim(x→0 )(arctanx/x)^(1/x^2)
lim(x→0 )(arctanx/x)^(1/x^2)求极限
求lim(x→0 )(arctanx/x)^(1/x^2)

lim(x→0 )(arctanx/x)^(1/x^2)求极限求lim(x→0 )(arctanx/x)^(1/x^2)
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: