<prompt> Kokotoa sum_n11000 frac1n2 n.  <response>: Tunaweza kuandika frac1n2n fracn1 - nnn1 frac1n - frac 1n1.Kwa hivyo, jumla ya darubini: sum_n11000 frac1n2n leftfrac11-frac12 kuliakushotofrac12-frac23kuliadotskushotofrac11000-frac11001kulia frac11-frac11001 frac1000 1001. 