| 31. | However, none of the original ancient sources has Zeno discussing the sum of any infinite series.
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| 32. | In mathematics, the infinite series is an elementary example of a geometric series that converges absolutely.
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| 33. | These questions arise in the study of limit and the infinite series, which resolve the paradoxes.
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| 34. | Euler needed it to compute slowly converging infinite series while Maclaurin used it to calculate integrals.
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| 35. | The Cauchy product of these two infinite series is defined by a discrete convolution as follows:
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| 36. | But Madhava went further and linked the idea of an infinite series with geometry and trigonometry.
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| 37. | The Cauchy product of two infinite series is defined even when both of them are divergent.
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| 38. | The sum of the sinh and cosh series is the infinite series expression of the exponential function.
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| 39. | In general, different rearrangements of an infinite series may yield different sums, unless certain conditions are imposed.
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| 40. | Decimal fractions with infinitely many digits to the right of the decimal separator represent an infinite series.
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