11'6 Geometric Series

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11.6 Geometric Series
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11.6 Ratio Test
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11.6 4 Using the Ratio Test
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11.6 5 Using the Ratio Test
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11.6 Special Sequences
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11.6 5 Using the Test for Divergence
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11.6 Geometric Series
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11.6 Root Test
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11.6 6 Using the Root Test
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11.6 4 Using the Root Test
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11.6 When to use Which Test
If the terms in a series have a factorial, try
the RATIO test first. If the terms have no
factorial, but they do have lots of powers of n,
consider using a root test, but you may need the
limits of nth root sequences.
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11.6 p-Series
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11.6 Rational Series
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11.6 Rearrangement
Any absolutely convergent series is also
unconditionally convergent in the sense that
rearranging the terms produces another absolutely
convergent series with the same limit. Any
conditionally convergent series can be rearranged
to produce another absolutely convergent series
with a different limit.