Question

Limit of hard multivariable function

score 93 · Answer 1 · 2026-04-12 20:48:11

93

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Limit of hard multivariable function

Published on 12 Apr 2026 - 20:48

score 81 · Answer 2 · 2026-04-18 13:35:54

81

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$\sum_\limits{n=1}^{\infty}\frac{n}{x^n}$ ratio or root test? different results?

Published on 18 Apr 2026 - 13:35

score 104 · Answer 3 · 2026-04-14 22:08:41

104

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$\lim_{n\to\infty}\int_0^1\sin (2 \pi nx)\, \mathrm{e}^{-\sqrt{x}}dx=0$

Published on 14 Apr 2026 - 22:08

score 127 · Answer 4 · 2026-04-10 12:53:42

127

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Application of the Fundamental Theorem of Calculus (cosmological red-shift)

Published on 10 Apr 2026 - 12:53

score 85 · Answer 5 · 2026-04-11 09:10:30

85

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How to prove the following function has only one root in interval [0,1]

Published on 11 Apr 2026 - 9:10

score 41 · Answer 6 · 2026-04-13 06:59:35

41

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Derivative of Sereis

Published on 13 Apr 2026 - 6:59

score 547 · Answer 7 · 2026-04-17 00:32:27

547

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Evaluate $ \int_{0}^{\pi/2} \frac{\sin(nx)}{\sin(x)}\,dx $

Published on 17 Apr 2026 - 0:32

score 652 · Answer 8 · 2026-04-16 20:18:38

652

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Why doesn't the derivative of $\arctan\left(\frac {1} {x}\right)$ exist at $x=0$?

Published on 16 Apr 2026 - 20:18

score 92 · Answer 9 · 2026-04-17 12:07:44

92

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Compute $ \int_{\Gamma_{\epsilon,R}} \frac{P(z)}{Q(z)}(\log z)^2\,dz $ with $\epsilon$ small, and $R$ large.

Published on 17 Apr 2026 - 12:07

score 68 · Answer 10 · 2026-04-12 22:47:26

68

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what is the most efficient way for multi-variate limit problems

Published on 12 Apr 2026 - 22:47

score 640 · Answer 11 · 2026-04-13 15:11:31

640

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Function has a gradient despite discontinuity. But does it have a hessian?

Published on 13 Apr 2026 - 15:11

score 1.4k · Answer 12 · 2026-04-16 16:32:31

1.4k

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Steffensen's method. Consider the iteration formula $x_{n+1}=x_n-f(x_n)/g(x_n)$ where $g(x)=[f(x+f(x))-f(x)]/f(x)$. Show that this quadratically

Published on 16 Apr 2026 - 16:32

score 71 · Answer 13 · 2026-04-12 03:08:11

71

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Proof check of inf f properties.

Published on 12 Apr 2026 - 3:08

score 4k · Answer 14 · 2026-04-29 12:46:09

4k

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Finding the volume of a solid s using cross sections

Published on 29 Apr 2026 - 12:46

score 48 · Answer 15 · 2026-04-15 18:20:43

48

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Derivative in the direction of u+v is equal to the sum of the derivative in the direction of u and the derivative in the direction of v

Published on 15 Apr 2026 - 18:20

List Question

Limit of hard multivariable function

$\sum_\limits{n=1}^{\infty}\frac{n}{x^n}$ ratio or root test? different results?

$\lim_{n\to\infty}\int_0^1\sin (2 \pi nx)\, \mathrm{e}^{-\sqrt{x}}dx=0$

Application of the Fundamental Theorem of Calculus (cosmological red-shift)

How to prove the following function has only one root in interval [0,1]

Derivative of Sereis

Evaluate $ \int_{0}^{\pi/2} \frac{\sin(nx)}{\sin(x)}\,dx $

Why doesn't the derivative of $\arctan\left(\frac {1} {x}\right)$ exist at $x=0$?

Compute $ \int_{\Gamma_{\epsilon,R}} \frac{P(z)}{Q(z)}(\log z)^2\,dz $ with $\epsilon$ small, and $R$ large.

what is the most efficient way for multi-variate limit problems

Function has a gradient despite discontinuity. But does it have a hessian?

Steffensen's method. Consider the iteration formula $x_{n+1}=x_n-f(x_n)/g(x_n)$ where $g(x)=[f(x+f(x))-f(x)]/f(x)$. Show that this quadratically

Proof check of inf f properties.

Finding the volume of a solid s using cross sections

Derivative in the direction of u+v is equal to the sum of the derivative in the direction of u and the derivative in the direction of v

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