=+5.14. Let f (x) be n2x or 2n -n2x or 0 according as 0 5x

x <2nFor 2n "≤x ≤ 1. This gives a standard example of a sequence of continuous functions that converges to 0 but not uniformly. Note that fdf,(x) dx does not converge to 0; relate to Example 5.7.