Question

How to show $f(x)$ is $0$ in following problem?

score 83 · Answer 1 · 2018-12-02 07:33:53

83

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How to show $f(x)$ is $0$ in following problem?

Published on 02 Dec 2018 - 7:33

score 88 · Answer 2 · 2026-03-25 19:06:26

88

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How to show $\lim_{n\to\infty}\sum_{k=1}^n(1+(k)/n)^3(1/n)=15/4$?

Published on 25 Mar 2026 - 19:06

score 35 · Answer 3 · 2018-12-04 03:23:53

35

Views

Integrability of of $f$ over an Infinite Partition

Published on 04 Dec 2018 - 3:23

score 27 · Answer 4 · 2018-12-04 03:32:03

27

Views

Find a specific partition to make $U(f,P) < 2/100$

Published on 04 Dec 2018 - 3:32

score 73 · Answer 5 · 2018-12-04 07:45:01

73

Views

Prove that $\lim_{n \rightarrow \infty} \int_{0}^{2 \pi} \frac {\sin (nx)}{x^2 + n^2} dx = 0$.

Published on 04 Dec 2018 - 7:45

score 246 · Answer 6 · 2026-03-25 19:01:53

246

Views

Limit, Riemann Sum, Integration, Natural logarithm

Published on 25 Mar 2026 - 19:01

score 231 · Answer 7 · 2018-12-04 08:57:45

231

Views

If f is continuous on [a,b] and $f(x) \geq 0$, for $x \in [a,b]$, but $f$ is not the zero function, prove that $\int_{a}^{b} f(x) dx > 0$

Published on 04 Dec 2018 - 8:57

score 42 · Answer 8 · 2018-12-04 23:37:10

42

Views

How to determine if an improper integral converges or diverges?

Published on 04 Dec 2018 - 23:37

score 113 · Answer 9 · 2026-03-22 19:08:30

113

Views

How to find $\int_0^1x^3$ using sums and partitions?

Published on 22 Mar 2026 - 19:08

score 456 · Answer 10 · 2018-12-06 11:11:18

456

Views

Integrability of the derivative of $f(x) = x^2 \sin (1/x^2)$ if $x \ne 0$ and 0 otherwise.

Published on 06 Dec 2018 - 11:11

score 137 · Answer 11 · 2026-03-25 22:09:09

137

Views

How to evaluate the sum for definite integrals using limit definition?

Published on 25 Mar 2026 - 22:09

score 29 · Answer 12 · 2018-12-06 22:17:12

29

Views

Prove that $f \in R(F_s)$ on the interval $[a, b]$ and that $\int f dF_s = f(s)$

Published on 06 Dec 2018 - 22:17

score 114 · Answer 13 · 2018-12-07 01:10:08

114

Views

Riemann-Stieltjes Integral - Changing Order of Integration

Published on 07 Dec 2018 - 1:10

score 1.6k · Answer 14 · 2018-12-07 05:32:31

1.6k

Views

Integrability of composite functions

Published on 07 Dec 2018 - 5:32

score 84 · Answer 15 · 2018-12-08 03:17:20

84

Views

Intuition behind Riemann integrabillity and sequences of partitions

Published on 08 Dec 2018 - 3:17

List Question

How to show $f(x)$ is $0$ in following problem?

How to show $\lim_{n\to\infty}\sum_{k=1}^n(1+(k)/n)^3(1/n)=15/4$?

Integrability of of $f$ over an Infinite Partition

Find a specific partition to make $U(f,P) < 2/100$

Prove that $\lim_{n \rightarrow \infty} \int_{0}^{2 \pi} \frac {\sin (nx)}{x^2 + n^2} dx = 0$.

Limit, Riemann Sum, Integration, Natural logarithm

If f is continuous on [a,b] and $f(x) \geq 0$, for $x \in [a,b]$, but $f$ is not the zero function, prove that $\int_{a}^{b} f(x) dx > 0$

How to determine if an improper integral converges or diverges?

How to find $\int_0^1x^3$ using sums and partitions?

Integrability of the derivative of $f(x) = x^2 \sin (1/x^2)$ if $x \ne 0$ and 0 otherwise.

How to evaluate the sum for definite integrals using limit definition?

Prove that $f \in R(F_s)$ on the interval $[a, b]$ and that $\int f dF_s = f(s)$

Riemann-Stieltjes Integral - Changing Order of Integration

Integrability of composite functions

Intuition behind Riemann integrabillity and sequences of partitions

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