>>341
lim[x→0](1-cos(x))/sin(x)
=lim[x→0](((1-cos(x))-0/x) / ((sin(x)-0)/x))
=lim[x→0]((1-cos(x))-0/x) / lim[x→0]((sin(x)-0)/x)
=sin(0)/cos(0) ∵d/dx(1-cosx)=sinx d/dx(sinx)=cosx
=0/1=0