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- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/09%3A_Sequences_and_the_Binomial_TheoremThumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for x≥1. Since the area bound...Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for 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 Carl Stitz, Ph.D. (Lakeland Community College) and Jeff Zeager, Ph.D. (Lorain County Community College)
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/09%3A_Sequences_and_the_Binomial_TheoremThumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for x≥1. Since the area bound...Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for 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 Carl Stitz, Ph.D. (Lakeland Community College) and Jeff Zeager, Ph.D. (Lorain County Community College)
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/09%3A_Sequences_and_the_Binomial_TheoremThumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for x≥1. Since the area bound...Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for 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.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/07%3A_Sequences_and_the_Binomial_TheoremThumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for x≥1. Since the area bound...Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for 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.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/07%3A_Sequences_and_Series_Mathematical_Induction_and_the_Binomial_TheoremThumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for x≥1. Since the area bound...Thumbnail: The sum of the areas of the rectangles is greater than the area between the curve f(x)=1/x and the x-axis for 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.