CSI Math

Problem of the Month: September 2008

Problem of the month for September 2008. From the current issue of Mathematics Magazine.

For nonnegative  a, b,  and  c,  find the limit of

sum(k=1..n,  sqrt(n^2 + kn + a) / [sqrt(n^2 + kn + b) sqrt(n^2 + kn + c)])

as  n  grows arbitrarily large.

If you have an answer, contact Professor Herschkorn.