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        "intro": "<p>We extend the concept of a finite series, met in Section 16.1, to the situation in which the number\nof terms increase without bound. We define what is meant by an infinite series being <b>convergent<\/b>\nby considering the <b>partial sums<\/b> of the series. As prime examples of infinite series we examine the\nharmonic and the alternating harmonic series and show that the former is divergent and the latter is\nconvergent.\nWe consider various tests for the convergence of series, in particular we introduce the ratio test which\nis a test applicable to series of positive terms. Finally we define the meaning of the terms absolute\nand conditional convergence.<br><\/p>",
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            "heading": "The ratio test",
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            "heading": "Exercises",
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