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Mar 3, 2020 at 17:02 comment added Robert Furber A related old answer. I have found that people usually need some prompting to think of an $L^1$ function that does not converge to $0$ at infinity, even though all one needs is a sequence of spikes of increasing height, but sufficiently rapidly decreasing width so that the sum of the areas under them converges.
S Mar 3, 2020 at 4:49 history answered KhashF CC BY-SA 4.0
S Mar 3, 2020 at 4:49 history made wiki Post Made Community Wiki by KhashF