9.1 Add it up (#integration) For each of the following sums: (i) Estimate the sum for n= 10, 100 and 1000 (you may use computational tools to help, make sure to

include supporting code). (ii) Evaluate (or estimate) the limit as n → ∞. (iii) Rewrite the sum as a definite integral and compute it. Compare your results. 2n (a) › Σ ((¹ + :-)²) = (b) Σ (COS ()) 2n