I'm currently taking multivariable calculus, but the only series work we've done has involved testing for convergence and finding the sum for convergent geometric series.<BR><BR>Googling has ...

This series diverges; that is, the sum is infinite (contrast this with the convergent series (1/2) + (1/4) + (1/8) + … = 1). I then casually mentioned that if you take the harmonic series and ...

Even though the number of points where Achilles catches up to where the tortoise was last is infinite, the sum between all those points is finite. We call this phenomenon a “convergent series.” ...