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7: Sequences and Series, Mathematical Induction, and the Binomial Theorem
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/07%3A_Sequences_and_the_Binomial_Theorem
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 bound...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.
7: Sequences and Series, Mathematical Induction, and the Binomial Theorem
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_Theorem
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 bound...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.

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