Hi,

I was thinking of this problem for a couple of hours, but wasn't sure how to formulate it, hence I wasn't able to google it.

It's pretty simple to explain, though. Observe any function with a finite integral over the R line

And now look at the function

Now, for any finite

,

, obviously.

However, I asked myself what is the answer for

?

I'm not sure if I have or don't have the right to exchange the limit and the integral

mainly because I have

*no idea* how to interpret this

So, what say you? I'm clueless.

Thanks!