The only tricky part is that sin(x)/x is strictly less than 1. Since floor is discontinuous at every integer, you have to be careful. I hope you can now see the answer and a proof if necessary.
Now i think its 2011 because sinx/x is slightly less than 1(like 0.9999999999999999999999999999999999...) for x->0 but i've written answer 2012 in my notebook.But i dont remember why i wrote that answer.
Now i think its 2011 because sinx/x is slightly less than 1(like 0.9999999999999999999999999999999999...) for x->0 but i've written answer 2012 in my notebook.But i dont remember why i wrote that answer.