Evaluate by first recognizing the sum as a Riemann sum over a partition of [0,1] and then evaluating the corresponding integral.A. 0----------------------------------------------------------------------------------------------------------------

B. 1/2

C. 1/4

D. Not enough information

E. None of the above

What is confusing me about the question is whether I'm being asked to compute a Riemann sum or being asked to "reverse engineer" the given function into a Riemann sum. I tend to lean towards the latter so this is what I've done so far...

Given:

Then:

When I decompose the sum into , I think I'm seing a basis of a Riemann sum with the following:

If I'm correct, then I continue...

Assuming all of that is correct, the lim as n approaches infinity is 1/2. However, I've spent a lot of time looking at this problem and might be completely off track.

Thanks,

Manny