3. In elementary calculus, it is shown that the integral folx 2d): is given by the limit of the sequence of Riemann sums, ? = k2 1 n _ n 2 n 2:421 _Ek1k' 2 k 1 2\" .. = _. k2] (n) n n2 n3 l 31 Although the infinite series, 2 :21 k2, is divergent, the damping caused by the factor i can be H3 used to prove that the sequence of Riemann sums, {'2' n}' converges to 1. In your scratch work 3 below, use the fact (assume Without proof) that: n k2 _ n(n+l)[2n+l) k2] _ 6 ' Then, simplify the expression for 1? n and give a limit proof based on the limit definition