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The P-series converges for? It diverges when p values are?
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Last updated
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Date created
Mar 11, 2021
Cards (7)
9.3
(2 cards)
The P-series converges for? It diverges when p values are?
when p>1 then the p-series converges. When 0<p<_1 it diverges
When we use the integral test, what conditions need to be satisfied? What does it mean if the conditions are satisfied?
We need to be sure the the function is decreasing, positive, and continuous.
if they meet the conditions then the integral test will demonstrate that the series diverges or converges.
9.1
(3 cards)
If a sequence is bounded and monotonic then
If the sequence is bounded and monotonic, it converges
When a sequence alternates between two numbers, what happens to the limit? What does an alternation between two numbers mean?
The limit will not exist. The sequence not existing means the sequence diverges
If the limit of a sequence does not exist then the sequence...
The sequence diverges.
9.4
(0 cards)
9.2
(1 card)
What ratio in a series diverges
If the ratio is grater or equal to one in diverges. if it less than 1 it converges
9.5
(1 card)
For a alternate series to pass a convergence test is has to meet what conditions?
bn limit has to approach to 0
bn Has to be greater than bn+1