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Divergence Test
diverges if limit = 0
Geometric Series
converges if |r| < 1
Telescoping Series
converges if 0 < L < ∞
P-Series
converges if p > 1
Ratio Test
converges if r < 1
Root Test
converges if ρ < 1
Alternating Series Test
converges if
1) ak is non increasing
2) lim ak = 0
Limit Comparison Test
0 < L < ∞
Direct Comparison Test
ak ≤ bk
Integral Test
f is positive, continuous, decreasing on [k, ∞)