AP Calculus BC Series test
nth term test - Correct Answers -When n probably doesn't equal zero
Divergent if the limit as n goes to infinity does NOT equal zero
Does not determine convergence
Geometric series test - Correct Answers -Something is multiplied over and over
The series of (r)^n converges if |r|<1 and diverges if |r|>1 or |r|=1
p-series test - Correct Answers -
Integral test - Correct Answers -Must be: continuous, positive, and decreasing
Limit Comparison Test - Correct Answers -Use when direct comparison doesn't work or
a ratio is given.
Ratio Test - Correct Answers -Use when it is ugly and there are nonzero terms
If the comparable one converges and it works, then it converges
If the comparable one diverges and it works, then they both diverge
Telescoping series - Correct Answers -Freeman's favorite
nth term test - Correct Answers -When n probably doesn't equal zero
Divergent if the limit as n goes to infinity does NOT equal zero
Does not determine convergence
Geometric series test - Correct Answers -Something is multiplied over and over
The series of (r)^n converges if |r|<1 and diverges if |r|>1 or |r|=1
p-series test - Correct Answers -
Integral test - Correct Answers -Must be: continuous, positive, and decreasing
Limit Comparison Test - Correct Answers -Use when direct comparison doesn't work or
a ratio is given.
Ratio Test - Correct Answers -Use when it is ugly and there are nonzero terms
If the comparable one converges and it works, then it converges
If the comparable one diverges and it works, then they both diverge
Telescoping series - Correct Answers -Freeman's favorite