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Mathematics LibreTexts

9: Sequences and the Binomial Theorem

  • Page ID
    4037
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      Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve \(\displaystyle f(x)=1/x\) and the \(\displaystyle x\)-axis for \(\displaystyle x≥1\). Since the area bounded by the curve is infinite (as calculated by an improper integral), the sum of the areas of the rectangles is also infinite.

      Contributors and Attributions

      • Carl Stitz, Ph.D. (Lakeland Community College) and Jeff Zeager, Ph.D. (Lorain County Community College)


      9: Sequences and the Binomial Theorem is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by Carl Stitz & Jeff Zeager via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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