Show that the given limit is a definite integral for a suitable interval and function
The limit is:
That's the problem I can't solve. Here is how far I've made it:
Since a definite integral can be defined as
Then:
which simplifies to:
I'm not sure how to solve, but, I can guess that which would simplify things to:
I can also guess that so that:
Now, I can't find a function that satisfies this. almost works but not quite.