rewrite
n
E 5i^3 / n^5
i=1
as a rational function S(n) and find lim S(n)
a. S(n) = n^2(n+1)^2 / 20, lim n-> infinity s(n) = 0
b. S(n) = 5(n+1)^2 / 4n^3, the limit does not exist
c. S(n) = 5(n+1)^2 / 4n^2, lim n-> infinity S(n) = 5/4
d. S(n) = 5n^2(n+1)^2 / 4, lim n-> infinity S(n) = 5
e. S(n) = 5(n+1)^2 / 4n^3, lim n-> infinity S(n) = 0
