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A convergent series is a series whose terms approach a finite limit as the number of terms approaches infinity. In other words, the sum of the terms in a convergent series approaches a finite value. On the other hand, a divergent series is a series whose terms do not approach a finite limit as the number of terms approaches infinity. The sum of the terms in a divergent series does not converge to a finite value.
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Professor
Ezra
MaxineThose terms are both used to describe different kinds of infinite series. As it turns out, somewhat counter-intuitively, you can add up an infinitely long series of numbers and sometimes get a finite sum. And example of this is the sum of one over n2 where n stands for the counting numbers from 1 to infinity. It converges to a finite sum, and is therefore a convergent series. The sum of one over n is a divergent series, because the sum is infinity.
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Is a divergent infinite series to the power of 2 also a divergent series?
Not necessarily, and I'll give you an example. The harmonic series, Σ∞n=1 (1/n), is divergent. However, if you square (1/n) and use the result in the above series; i.e. Σ∞n=1 (1/n2), which is the p-series for p = 2, the result is that the series converges, and so therefore, by definition, is not divergent.
What is the difference between a single trade discount and trade discount series?
What is the difference between a single trade discount and trade discount series? In: http://wiki.answers.com/Q/FAQ/2547-72 [Edit categories]
What is the Different between a single trade discount versus a discount series?
Describe the difference between a single trade discount versus and discount series and give an example
What is the DIFFERENCE between replication and repetition?
The difference between between replication and replication is that replication is the series of copies, and repetition is the series of repeats.
What does summation of infinite series?
The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.
