Mattofix
Feb19-08, 10:06 AM
1. The problem statement, all variables and given/known data
Im working on the upper and lower riemann sums of f(x) = exp(-x)
where Pn donates the partition of [0,1] into n subintervals of equal length (so that Pn = {0,1/n,2/n,....,1})
2. Relevant equations
3. The attempt at a solution
So far i have the upper sum to be the sum from i=1 to n of exp(-i/n)/n - is this right? - if so where do i go from here? I think im meant to take the limit when n-> infin which should give the final upper sum. I hope this right...
Im working on the upper and lower riemann sums of f(x) = exp(-x)
where Pn donates the partition of [0,1] into n subintervals of equal length (so that Pn = {0,1/n,2/n,....,1})
2. Relevant equations
3. The attempt at a solution
So far i have the upper sum to be the sum from i=1 to n of exp(-i/n)/n - is this right? - if so where do i go from here? I think im meant to take the limit when n-> infin which should give the final upper sum. I hope this right...