Theorem. The Ratio Test.
Suppose that
{a
i
}
is a sequence of positive numbers
If
then
is convergent.
If
then
is divergent.
Discussion [
Using Flash
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Using Java
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Exercises:
[Solution.]
[Solution.]
[Solution.]
Comment.
The ratio test gives no information when
Exercises:
[Solution.]
[Solution.]
Drill Problems.
then 
is convergent.
then 
