Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Convergence Tests
AP Calc BC
| Question | Answer |
|---|---|
| P-Series Test | An converge P > 1 |
| P-Series Test | An diverge P ≤ 1 |
| Geometric Series Test | An converge |r| < 1 |
| Geometric Series Test | An diverge r ≥ 1 |
| nth term Test | Diverges when limit →∞ ≠ 0 |
| nth Term Test | Inconclusive when limit →∞ = 0 |
| Conditionl Convergence (Alternating is the conditions) | Does NOT convegre absolutely, Converges Alternating |
| Integral Test Conditions | 1. Positive 2. Decreasing 3. Continuous |
| Integral Test | Converges when limit →∞ = converges |
| Integral Test | Diverges when limit →∞ = diverges (0, ∞, -∞) |
| Limit Comparision Test | C = Lim →∞ of |An * 1/Bn| |
| Limit Comparison Test Conditions | C = Positive & Finit (NOT ∞ /-∞ ) |
| Limit Comparison Test Conditions | Both functions either converge or diverge depending on the convergence of An or Bn |
| Comparison Test | Converges when a greater function converges |
| Comparision Test | Diverges when a lesser function converges |
| Ratio Test | L = Lim →∞ of |An +1 / An| |
| Ratio Test | Diverges when L > 1 |
| Ratio Test | Converges when L < 1 |
| Ratio Test | Inconclusive when L = 1 |
| Alternating Series Test Conditions | 1. Decreasing 2. Limit of all terms = 0 3. Alternating (implied by -1) |
Created by:
martoccib
Popular Standardized Tests sets