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  2. Fig - Wikipedia

    en.wikipedia.org/wiki/Fig

    When dehydrated to 30% water, figs have a carbohydrate content of 64%, protein content of 3%, and fat content of 1%. [46] In a 100-gram serving, providing 1,041 kJ (249 kcal) of food energy, dried figs are a rich source (more than 20% DV) of dietary fiber and the essential mineral manganese (26% DV), while calcium , iron , magnesium , potassium ...

  3. Harmonic series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(mathematics)

    Calculus. In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions : The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it ...

  4. Convergent series - Wikipedia

    en.wikipedia.org/wiki/Convergent_series

    The n th partial sum Sn is the sum of the first n terms of the sequence; that is, A series is convergent (or converges) if and only if the sequence of its partial sums tends to a limit; that means that, when adding one after the other in the order given by the indices, one gets partial sums that become closer and closer to a given number.

  5. Rate of convergence - Wikipedia

    en.wikipedia.org/wiki/Rate_of_convergence

    The sequence () with =, which was also introduced above, converges with order q for every number q. It is said to converge exponentially using the convention for discretization methods. However, it only converges linearly (that is, with order 1) using the convention for iterative methods. [why?

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    You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

  7. 1/4 + 1/16 + 1/64 + 1/256 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/4_%2B_1/16_%2B_1/64_%2B...

    1/4 + 1/16 + 1/64 + 1/256 + ⋯. Archimedes' figure with a = ⁠ 3 4 ⁠. In mathematics, the infinite series ⁠ 1 4 ⁠ + ⁠ 1 16 ⁠ + ⁠ 1 64 ⁠ + ⁠ 1 256 ⁠ + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1] As it is a geometric series ...

  8. Limit of a sequence - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_sequence

    In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). [ 1] If such a limit exists, the sequence is called convergent. [ 2] A sequence that does not converge is said to be divergent. [ 3]

  9. 1/2 − 1/4 + 1/8 − 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%E2%88%92_1/4_%2B_1/8...

    This series is one of the first to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. The Euler transform of the divergent series 12 + 4 − 8 + ⋯ is 1 / 21 / 4 + 1 / 8 − 1 / 16 + ⋯. Therefore, even though the former series does not have a sum in the usual sense, it is Euler summable to 1 / 3 ...

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