Question: Show that f(x)= (x^2)/((x^2)+1) is continuous on [0,infinity). Is it uniformly continuous? My attempt: So I know that continuity is defined as "given any Epsilon, and for all x contained in A, there exists delta >0 such that if y is contained in A and abs(y-x)<delta, then abs(f(x)-f(y))<Epsilon. So i tried expanding the function, but still can not find the values for delta that make this continuous on [0,infinity). Any ideas? Also, it is NOT uniformly continuous correct? Thanks!