To determine the region whose area is equal to the given limit:
1. First, review the concept of Riemann sums.
2. Start by understanding the notation and setting up the Riemann sum. The notation Σ (n on top, i=1 on bottom) represents the sum from i=1 to n. The expression (2/n)*[5+(2i/n)]^10 is the function being summed at each i.
3. Determine the width of each subinterval, Δx. In this case, the expression given is (2/n), which represents the width of each subinterval.
4. Determine the limits of integration. To determine the limits, visualize the function being summed and consider the values of i as it ranges from 1 to n. In this case, the function is (5+(2i/n))^10. The limits could be 0 to 2, -5 to -3, or any other values depending on the context of the problem.
5. Review the formula for the Riemann sum:
lim n->∞ Σ (n on top, i=1 on bottom) [f(a+i*Δx)*Δx]
Here, f(x) = (5+(2i/n))^10 is the function being summed, a represents the starting point of the interval, and b represents the ending point of the interval.
6. Determine the values for a and b based on the given limits. In this case, a = 5 and (b-a) = 2, so b = 7.
7. Once you have determined the function (f(x)), the starting point (a), and the ending point (b), you can proceed with evaluating the Riemann sum using the definite integral. If the problem asks for the area of the region, the Riemann sum can be represented as the definite integral of f(x) from x=5 to x=7.
8. Solve the definite integral to find the area of the region (if that is the given goal).
Remember, practicing Riemann sums and understanding the concepts behind them will help with setting up and solving problems like these.