# Finite series

• Oct 30th 2009, 03:30 AM
bigdoggy
Finite series
If a series is finite, eg $\sum_{i=1}^\infty |x_i|^p < +\infty$ does that imply that since it is finite it is convergent....intuitively it seems correct...?
• Oct 30th 2009, 04:38 AM
Krizalid
well, more or less.

when we say "convergent," while summing terms, we'll see that the series tends to be a finite number.