1. The problem statement, all variables and given/known data Is the function f(x) = x * sin(1/x) for x =/= 0 and f(0) = 0 unifoirmly continuous on R? 2. Relevant equations 3. The attempt at a solution dom(f) = (-inf, inf) x,y in R and |x-y| < d imply |f(x) - f(y)| < e |x - 0| < d imply |x * sin(1/x) - 0 | < e ?