(6)lim ln[(sinx)^(tanx)]x→π/2=lim tanx·ln(sinx)x→π/2=lim ln(sinx)/cotxx→π/2=lim (cosx/sinx)/(-csc²x)x→π/2=lim (-sinx·cosx)x→π/2=-sin(π/2)cos(π/2)=-1·0=0lim [(sinx)^(tanx)]=e⁰=1x→π/2
