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Camila Elliott
Mathematics
11 September, 17:11
Which geometric series diverges?
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Drake Hernandez
11 September, 17:13
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If |r| > = 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN < = (N ...) f (x) dx.
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Dean Bright
11 September, 17:39
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is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case
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