lim(x趋向于0+）x^tanx求极限?
lim(x趋向于0+）x^tanx=e^lim(x趋向于0+）lnx^tanx=e^lim(x趋向于0+）lnx*tanx=e^lim(x趋向于0+）lnx/cotx(∞/∞)=e^lim(x趋向于0+）(1/x)/(-csc^2x)=e^lim(x趋向于0+）-sinx=e^0=1
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