Recent content by aday

f(x)=xsin(1/x) for (0,1]and f(0)=0 and if g:[-1,1]---to R i s riemann integrable prove that gof is riemann integrable?

The question asks to prove directly that the closed interval is covering compact - U= an open covering of the closed set [a,b] I started by taking C=the set of elements in the interval that finitely many members of U cover. Now I need to somehow use the least upper bound theorem to show that...