Final
Last Modified: 20140722
If ∑_{n=1}^{∞}a_{n }is
 Positive
 Continuous
 Decreasing for all n in series
Then:

If ∫_{1}^{∞} exists, then ∑_{n=1}^{∞}a_{n}^{ }converg.

Else Divergent
and b_{n} converges
 use for factorials
 if lim n>∞ a_{n+1/}a_{n}<1 series is absolutely convergent
 if lim n>∞ a_{n+1/}a_{n}>1 series is divergent
R=infinity
R=infinity
R=infinity
radius=1
Horizontal traces are ellipses
Vertical traces are hyperbolas
Axis of symmetry corresponds to the variable whose coefficient is NEGATIVE
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