lim(x趋向于0+）x^tanx 求极限?
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lim(x趋向于0+）x^tanx求极限?lim(x趋向于0+）x^tanx求极限?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^ta
lim(x趋向于0+）x^tanx 求极限?
lim(x趋向于0+）x^tanx 求极限?
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
洛必达法则；取ln对数，得(ln(x)/cot(x))，上下求导得 -（sin²x/x²）所以结果是 -1
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