Convergent
Series
An infinite series for which the sequence
of partial sums converges. For example, the sequence of partial sums of
the series 0.9 + 0.09 + 0.009 + 0.0009 + ··· is
0.9, 0.99, 0.999, 0.9999, ....
This sequence converges to 1, so the series 0.9 + 0.09 + 0.009
+ 0.0009 + ··· is
convergent.
See
also
Sequence, divergent series
