Question

generating sequence with a specific recursive condition

score 31 · Answer 1 · 2026-04-28 14:14:54

31

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generating sequence with a specific recursive condition

Published on 28 Apr 2026 - 14:14

score 93 · Answer 2 · 2026-04-17 15:58:14

93

Views

Prove by induction: $b_n=\frac{n^n}{n!}$, where $b_1 = 1$ and $b_{n+1} = \left(1+\frac{1}{n}\right)^n\times b_n$

Published on 17 Apr 2026 - 15:58

score 25 · Answer 3 · 2026-04-19 17:16:47

25

Views

Does a point of inflection of a function exist when it lies on the end of a closed interval?

Published on 19 Apr 2026 - 17:16

score 442 · Answer 4 · 2026-04-16 04:51:25

442

Views

What is $\lim_{x\to1^{-}} (1-x)\left(\sum_{i=0}^{\infty} x^{i^2}\right)^{2}$?

Published on 16 Apr 2026 - 4:51

score 71 · Answer 5 · 2026-04-15 20:01:28

71

Views

Can this be correct $I_{\alpha}=\int_{0}^{\pi/2}\mathrm dx {\sin(2x)\over 1+\tan^{\alpha}x}={1\over 2}?$

Published on 15 Apr 2026 - 20:01

score 620 · Answer 6 · 2026-04-11 13:57:22

620

Views

Curl of a linear operator applied to a vector field

Published on 11 Apr 2026 - 13:57

score 103 · Answer 7 · 2026-05-17 03:17:42

103

Views

Check the convergence using the integral test for $\sum \limits_{n=1}^{\infty} \sqrt{n}\,2^{-\sqrt{n}}$

Published on 17 May 2026 - 3:17

score 1.6k · Answer 8 · 2026-05-17 03:23:00

1.6k

Views

Strange Limit in Proof of the Fresnel Integral

Published on 17 May 2026 - 3:23

score 144 · Answer 9 · 2026-05-11 00:54:36

144

Views

Jacobian with right inverse

Published on 11 May 2026 - 0:54

score 64 · Answer 10 · 2026-04-22 06:37:38

64

Views

Change of a function and approximate value

Published on 22 Apr 2026 - 6:37

score 363 · Answer 11 · 2026-04-16 12:14:25

363

Views

Integrate $\pi (r^2-x^2)$

Published on 16 Apr 2026 - 12:14

score 69 · Answer 12 · 2026-04-25 04:43:59

69

Views

Value of $\lambda$ such that two limits are equal

Published on 25 Apr 2026 - 4:43

score 46 · Answer 13 · 2026-04-13 04:25:21

46

Views

Finding flux out of cyllindrical surface

Published on 13 Apr 2026 - 4:25

score 77 · Answer 14 · 2026-04-19 17:18:58

77

Views

Integral of $\int_{f(a)}^{f(b)} \frac{\sqrt{f(x)}}{f'(x)}df(x)$

Published on 19 Apr 2026 - 17:18

score 495 · Answer 15 · 2026-04-15 16:56:09

495

Views

Distance function is not differentiable but square of it is?

Published on 15 Apr 2026 - 16:56

List Question

generating sequence with a specific recursive condition

Prove by induction: $b_n=\frac{n^n}{n!}$, where $b_1 = 1$ and $b_{n+1} = \left(1+\frac{1}{n}\right)^n\times b_n$

Does a point of inflection of a function exist when it lies on the end of a closed interval?

What is $\lim_{x\to1^{-}} (1-x)\left(\sum_{i=0}^{\infty} x^{i^2}\right)^{2}$?

Can this be correct $I_{\alpha}=\int_{0}^{\pi/2}\mathrm dx {\sin(2x)\over 1+\tan^{\alpha}x}={1\over 2}?$

Curl of a linear operator applied to a vector field

Check the convergence using the integral test for $\sum \limits_{n=1}^{\infty} \sqrt{n}\,2^{-\sqrt{n}}$

Strange Limit in Proof of the Fresnel Integral

Jacobian with right inverse

Change of a function and approximate value

Integrate $\pi (r^2-x^2)$

Value of $\lambda$ such that two limits are equal

Finding flux out of cyllindrical surface

Integral of $\int_{f(a)}^{f(b)} \frac{\sqrt{f(x)}}{f'(x)}df(x)$

Distance function is not differentiable but square of it is?

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