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A question about general Riemann sums

score 569 · Answer 1 · 2020-07-11 20:38:41

569

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A question about general Riemann sums

Published on 11 Jul 2020 - 20:38

score 74 · Answer 2 · 2020-07-12 12:07:07

74

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limit of a sum of a sequence

Published on 12 Jul 2020 - 12:07

score 103 · Answer 3 · 2020-07-12 12:26:32

103

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Riemann integrability criteria

Published on 12 Jul 2020 - 12:26

score 5.5k · Answer 4 · 2020-07-17 02:38:23

5.5k

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Express the limit of a Riemann sum as a definite integral

Published on 17 Jul 2020 - 2:38

score 168 · Answer 5 · 2026-03-25 16:44:23

168

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The closed form solution to the equation with sum of exponential functions

Published on 25 Mar 2026 - 16:44

score 305 · Answer 6 · 2020-07-23 01:41:56

305

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Show that $\lim\limits_{N\rightarrow\infty}\sum\limits_{n=1}^N\frac{1}{N+n}=\int\limits_1^2 \frac{dx}{x}=\ln(2)$

Published on 23 Jul 2020 - 1:41

score 67 · Answer 7 · 2020-07-27 22:17:18

67

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Convert $\lim\limits_{n \to \infty} \sum_{k=1}^n \frac{4}{n}\sqrt{2+\frac{4k}{n}}$ into a definite integral.

Published on 27 Jul 2020 - 22:17

score 102 · Answer 8 · 2020-07-30 17:17:40

102

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An argument in approximating Riemann-type sums: assuming without loss of generality a given partition is contained in all partitions.

Published on 30 Jul 2020 - 17:17

score 78 · Answer 9 · 2020-07-31 05:18:51

78

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What is $\lim_{N\to\infty}\frac{-2}{\pi}\sum_{n=1}^N \frac{(-1)^n}{n} \sin(n\frac{N\pi}{N+1})$?

Published on 31 Jul 2020 - 5:18

score 460 · Answer 10 · 2020-07-31 05:20:33

460

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Showing that a function is Darboux Integrable using definition of integral

Published on 31 Jul 2020 - 5:20

score 229 · Answer 11 · 2016-07-06 23:05:20

229

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Arrow in Sigma Notation?

Published on 06 Jul 2016 - 23:05

score 357 · Answer 12 · 2016-07-14 10:04:15

357

Views

Question about Darboux integral definition

Published on 14 Jul 2016 - 10:04

score 50 · Answer 13 · 2016-07-20 02:47:30

50

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Find the value of $\sum_{i=1}^n \left(\frac{14i}{n}-5\right)\frac{4}{n}$ as an expression involving $n$

Published on 20 Jul 2016 - 2:47

score 6.7k · Answer 14 · 2016-07-23 21:11:45

6.7k

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Cauchy criterion for Riemann integrability : How can we assume that $\delta_n\ge \delta_{n+1}?$

Published on 23 Jul 2016 - 21:11

score 3k · Answer 15 · 2016-07-24 16:35:42

3k

Views

Finding the lower and upper sums of $f(x)=2x+1$

Published on 24 Jul 2016 - 16:35

List Question

A question about general Riemann sums

limit of a sum of a sequence

Riemann integrability criteria

Express the limit of a Riemann sum as a definite integral

The closed form solution to the equation with sum of exponential functions

Show that $\lim\limits_{N\rightarrow\infty}\sum\limits_{n=1}^N\frac{1}{N+n}=\int\limits_1^2 \frac{dx}{x}=\ln(2)$

Convert $\lim\limits_{n \to \infty} \sum_{k=1}^n \frac{4}{n}\sqrt{2+\frac{4k}{n}}$ into a definite integral.

An argument in approximating Riemann-type sums: assuming without loss of generality a given partition is contained in all partitions.

What is $\lim_{N\to\infty}\frac{-2}{\pi}\sum_{n=1}^N \frac{(-1)^n}{n} \sin(n\frac{N\pi}{N+1})$?

Showing that a function is Darboux Integrable using definition of integral

Arrow in Sigma Notation?

Question about Darboux integral definition

Find the value of $\sum_{i=1}^n \left(\frac{14i}{n}-5\right)\frac{4}{n}$ as an expression involving $n$

Cauchy criterion for Riemann integrability : How can we assume that $\delta_n\ge \delta_{n+1}?$

Finding the lower and upper sums of $f(x)=2x+1$

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