1. The problem statement, all variables and given/known data Let fn(x) = 1/(nx+1) on (0,1) where x is a real number. Show this function does not converge uniformly. 2. Relevant equations 3. The attempt at a solution I know why it is not uniformly convergent. Even though fn(x) goes to zero monotonically on the interval (0,1), it's not continuous on a compact interval. How would go about showing this formally/by example?