y=(tanx)^(sinx)  lny=sinxlntanx  lim  x-&gt;0  y  =lim  x-&gt;0  e^(lny)=e^[lim  x-&gt;0  lny]  =e^[lim  x-&gt;0  (lntanx)/cscx]=e^[lim  x-&gt;0  (cotxsec?x)/(-cotxcscx)  ]  =e^[lim  x-&gt;0  -sinx/cos?x]=e^0=1
当x趋向于0时求tanx的sinx次方的极限