x=linspace(1,10);

f=(floor(x)+1-x).*log(floor(x))+(x-floor(x)).*log(floor(x)+1);
g=x./(floor(x+1/2))-1+log(floor(x+1/2));

plot(x,f)
hold on
plot(x,g)
plot(x,log(x))

diary off