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set of integers (list of numbers) |
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Sum of sequence with a common ratio (r) |
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How do you know if a sequence is convergent or divergent? |
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if the limit to infinity exists sequence is convergent, if DNE then divergent |
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How do you know if a series is convergent or divergent? |
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if the limit to infinity of partial sums exists then the series is convergent, if DNE then divergent |
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How do you know if a geometric series is convergent or divergent? |
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if |r|<1 then convergent, if |r|>_1 then divergent |
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what can you do to: lim ca_n |
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what can you do to: lim a+b |
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what can you do to: lim a*b |
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what can you do to: lim a/b |
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lim a / lim b (if lim b does not equal 0) |
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what can you do to: lim (a_n)^p |
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