Show that limit is a definite integral

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.

Re: Show that limit is a definite integral

Quote:

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**VinceW** Show that the given limit is a definite integral

for a suitable interval

and function

The limit is:

Let .

Re: Show that limit is a definite integral

that works. I take it that was just intuition? Not sure how I would have figured that out by myself. thanks!