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In this chapter, we will briefly introduce infinite series of real numbers and applies our results for sequences to series, or infinite sums. Before discussing infinite series, we would like to explain a few basic definitions. We will also discuss the techniques of the testing nature of infinite series as regards convergence. The convergence and sum of an infinite series are defined in terms of its sequence of finite partial sums.

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Infinite Series of Numbers

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  • 发表日期：

    2025年

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  • Naokant Deo,
  • Ryozi Sakai

摘要

In this chapter, we will briefly introduce infinite series of real numbers and applies our results for sequences to series, or infinite sums. Before discussing infinite series, we would like to explain a few basic definitions. We will also discuss the techniques of the testing nature of infinite series as regards convergence. The convergence and sum of an infinite series are defined in terms of its sequence of finite partial sums.