Possibly it is interpreted differently from what you have in mind. A less ambiguous input might result in a computation fast enough to finish before the time constraint ends it.
In[2229]:= WolframAlpha[
"lim ((ln(1+sinx)[Sqrt]sinx)/[Sqrt](3x^3(1+x+2x^2-5x^3)) as x->0", \
{{"Limit", 1}, "Input"}] // InputForm
(* Out[2229]//InputForm=
HoldComplete[Limit[((Log[1 + Sin[x]]*Sqrt[x]*Sin[x])/Sqrt[x])*(3*x^3*(1 + x + 2*x^2 - 5*x^3)),
x -> 0]] *)