Question 842857
Use {{{lim(x->0,sin(x)/x)=1}}}, so then {{{lim(x->0,x/sin(x))=1}}}
and
{{{lim(x->0,(x^2/sin(x^2)))=1}}} and 
{{{lim(x->0,(x^2/sin(x^2))*cos(x^2))=1}}} since {{{lim(x->0,cos(x^2))=1}}}
So then 
{{{lim(x->0,(x^2*cot(x^2)))=1}}}
and then
{{{lim(x->0,(x^3*cot(x^2)))=(lim(x->0,(x*x^2*cot(x^2))))=(lim(x->0,x))*1}}}
{{{highlight_green(lim(x->0,(x^3*cot(x^2)))=0)}}}