find a positive continuous function with a finite area : $\int_0^\infty f(x) dx$ , but the limit of $f(x)$ as $x$ goes to infinity doesn't exist.
I tried finding such a function but I failed .
find a positive continuous function with a finite area : $\int_0^\infty f(x) dx$ , but the limit of $f(x)$ as $x$ goes to infinity doesn't exist.
I tried finding such a function but I failed .