# Riemann Sum and Limit

Not what you're looking for? Search our solutions OR ask your own Custom question.

Write out the Riemann Sum for R(f,P, 0, 2) for arbitrary n, f(x) = x2+/-3x+2, where each ∆xk = 2/n and ck = xk, simplify and use the formulas âˆ‘n,k=1

k=(n(n+1))/2 and âˆ‘n,k=1 k2=n((n + 1)(2n + 1))/6 to find the limit as n --> 1.

https://brainmass.com/math/real-analysis/riemann-sum-limit-18132

#### Solution Preview

Solution. We know that ∆xk = 2/n and ck = xk=2k/n, k=1,2,...,n(x0=0,x1=2/n,x2=4/n,...,xn=2). f(x) = ...

#### Solution Summary

A Riemann sum is found and a limit is obtained. The limits of the functions are determined.

$2.49