The Taylor Series did not converge



Hi all:

This must be serious! The discussion over Taylor Series lead me to believe
that
the series did not converge... it has been a hot topic for a straight 3
weeks now!
Now where would I use Taylor Series in teaching physics that I would
stumble upon the same problem? Makes me think if other software can do this
right. Would
Mathematica or Maple do it better?

Thanks for insight in the discussions.

Regards,
Berns B.