Series Test
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Last updated 11:34 PM on 4/6/26
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9 Terms
1
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How to find limit of an as n → infinity.
Divide every term in numerator + denominator by HIGHEST power of n.
2
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Geometric Series Test
If |r| < 1 then the series converges to a / (1-r).
If |r| > 1 then the series diverges.
3
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Divergence Test
If limn→∞ an ≠ 0, then the infinite series an diverges.
4
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Integral Test
If the function f(x) is
-continuous
-positive
-decreasing
from [k,∞) and f(n) = an, then the series
converges if the integral converges and
diverges if the integral diverges.
5
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6
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P-Series Test
7
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Comparison Test
8
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Alternating Series Test
9
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