Expert: Steve Holleran - 12/13/2007

Question
find the sum from n=0 to infinite of n/(4n+9) pliz help

Answer
Hi Shiela,

The only thing I can think to do here, since this series is not geometric, is to divide the fraction out:
                       ------------------
  n/ (4x+9) =  4n+9    |n

  = 1/4 - (9/4)/(4n+9) = 1/4 - 9/(16n+36)

Then, as n--> inf, the second fraction goes to 0, so the sum would be 1/4.

Can't think of much else to do.

Steve