Consider the function f(x) In this problem you will calculate Calculate Rn for f(x) Rn lim Rn n→∞ = = = + 8. 3 S² (²² Th

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Consider The Function F X In This Problem You Will Calculate Calculate Rn For F X Rn Lim Rn N 8 3 S Th 1 (343.78 KiB) Viewed 8 times

Consider the function f(x) In this problem you will calculate Calculate Rn for f(x) Rn lim Rn n→∞ = = = + 8. 3 S² (²² The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. x² + 8 on the interval [0, 3] and write your answer as a function of n without any summation signs. You will need the summation formulas 2 +8) dx by using the definition b To f(x) dx 1+2+3+ ... + n = 1² + 2² + 3² + + n² = n limΣ f(x;)Δα n→∞ i=1 n n i=1 i n(n+1) 2 n(n + 1) (2n + 1) 6 n² + n 2 2n³ + 3n² + n 2