Hi, I need an example to show that the supremum of continuous functions is a lower semi continuous function (not a continuous function). Thanks
Follow Math Help Forum on Facebook and Google+
Let $\displaystyle f_{n}(x)=|x|^{1/n}\ \ n\geq 1$ Can you find the piecewise definition of $\displaystyle sup\ f_{n}(x)$?
View Tag Cloud