This sum converges to a limit, I can see,
     The terms decrease in size so very rapidly.
     Isn't there some way to tell what the sum turns out to be?
     There's got to be at least six ways to sum this series.

     I added up one hundred terms it took all night.
     I added fifty more, but still it was not right.
     "Though adding terms this way won't work,"
        I said, "some other method might."
     I'll bet someone could find six ways to sum this series.     

     Chorus: 
     Tally up the inverse roots, Toots!
     Add some bounds that use cotan, Stan!
     Double integrate a square, Cher!
     Just give it a try.

     Calculate a residue, Stu!
     Analyze a Fourier, Ray!
     Use an imaginary real, Neal!
     It's easy as pi!