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