Calc II Convergence Check

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Last updated 1:01 PM on 4/14/26
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10 Terms

1
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Divergence Test

diverges if limit \ne 0

2
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Geometric Series

converges if |r| < 1

3
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Telescoping Series

converges if 0 < L < \infty

4
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P-Series

converges if p > 1

5
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Ratio Test

converges if r < 1

6
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Root Test

converges if ρ\rho < 1

7
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Alternating Series Test

converges if

1) ak is non increasing

2) lim ak = 0

8
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Limit Comparison Test

0 < L < \infty

9
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Direct Comparison Test

ak \le bk

10
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Integral Test

f is positive, continuous, decreasing on [k, \infty)