Concept explainers
An early limit Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat were calculating the area of the region under the curve y = xP between x = 0 and x = 1, where p is a positive integer. Using arguments that predated the Fundamental Theorem of Calculus, they were able to prove that
Use what you know about Riemann sums and integrals to verify this limit.
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Check out a sample textbook solutionChapter 10 Solutions
Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
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Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage