Question

Is there an arithmetic mean limit on the symmetrical items of the harmonic series?

score 185 · Answer 1 · 2026-05-13 23:59:58

185

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Is there an arithmetic mean limit on the symmetrical items of the harmonic series?

Published on 13 May 2026 - 23:59

score 278 · Answer 2 · 2026-04-16 03:46:08

278

Views

Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

Published on 16 Apr 2026 - 3:46

score 761 · Answer 3 · 2026-04-14 05:20:51

761

Views

Prove that a function is not differentiable with $\epsilon - \delta$

Published on 14 Apr 2026 - 5:20

score 132 · Answer 4 · 2026-05-10 14:25:25

132

Views

How can I find $\delta$ given $\epsilon$?

Published on 10 May 2026 - 14:25

score 224 · Answer 5 · 2026-04-17 01:08:58

224

Views

Asymptotic expansion of $a_1=1$, $a_n=a_{n-1}-\frac{a_{n-1}^2}2$

Published on 17 Apr 2026 - 1:08

score 58 · Answer 6 · 2026-04-14 12:30:54

58

Views

Limiting the expected number of geometrically distributed variables I need to look at

Published on 14 Apr 2026 - 12:30

score 159 · Answer 7 · 2026-04-14 06:16:53

159

Views

Spivak Caculus 4th edition wrong answer on chapter 5 (limits prove)?

Published on 14 Apr 2026 - 6:16

score 122 · Answer 8 · 2026-04-17 10:23:36

122

Views

Evaluating $\lim_{x\to 1}{\left(\frac{(1-x)(1-x^2)\cdots(1-x^{2n})}{({(1-x)(1-x^2)\cdots(1-x^n)})^2}\right)}$

Published on 17 Apr 2026 - 10:23

score 66 · Answer 9 · 2026-04-16 15:59:52

66

Views

Prove or disprove that $\lim_{|z|\to \infty}\sin \frac{\pi}{z}=0$

Published on 16 Apr 2026 - 15:59

score 145 · Answer 10 · 2026-04-16 12:51:40

145

Views

How to prove that if $a_n=o(n) $ then $\sum_{k=0}^n\frac{a_n^k}{k!}\sim e^{a_n} $

Published on 16 Apr 2026 - 12:51

score 40 · Answer 11 · 2026-04-16 14:30:20

40

Views

Asymptotical behavior of this sequence limit

Published on 16 Apr 2026 - 14:30

score 79 · Answer 12 · 2026-05-06 00:21:22

79

Views

How to find the limit of $\frac{\sin(x^2 + y^2)}{1-\cos \sqrt{x^2+y^2}}$ as $(x,y)\to0$?

Published on 06 May 2026 - 0:21

score 42 · Answer 13 · 2026-04-16 10:56:12

42

Views

FInding $f_{xy}$ and $f_{yx}$ given a piecewise function

Published on 16 Apr 2026 - 10:56

score 684 · Answer 14 · 2026-05-14 23:27:19

684

Views

Why doesn't the limit $\lim_{r \to 0} \frac{r (\cos^2\theta\sin\theta)}{r^2\cos^4\theta + \sin^2\theta}$ exist?

Published on 14 May 2026 - 23:27

score 1.1k · Answer 15 · 2026-04-16 23:09:48

1.1k

Views

Calculate $\lim_{x\to{0^+}}\frac{\log_{\sin{x}}{\cos{x}}}{\log_{\sin{\frac{x}{2}}}\cos{\frac{x}{2}}}$

Published on 16 Apr 2026 - 23:09

List Question

Is there an arithmetic mean limit on the symmetrical items of the harmonic series?

Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

Prove that a function is not differentiable with $\epsilon - \delta$

How can I find $\delta$ given $\epsilon$?

Asymptotic expansion of $a_1=1$, $a_n=a_{n-1}-\frac{a_{n-1}^2}2$

Limiting the expected number of geometrically distributed variables I need to look at

Spivak Caculus 4th edition wrong answer on chapter 5 (limits prove)?

Evaluating $\lim_{x\to 1}{\left(\frac{(1-x)(1-x^2)\cdots(1-x^{2n})}{({(1-x)(1-x^2)\cdots(1-x^n)})^2}\right)}$

Prove or disprove that $\lim_{|z|\to \infty}\sin \frac{\pi}{z}=0$

How to prove that if $a_n=o(n) $ then $\sum_{k=0}^n\frac{a_n^k}{k!}\sim e^{a_n} $

Asymptotical behavior of this sequence limit

How to find the limit of $\frac{\sin(x^2 + y^2)}{1-\cos \sqrt{x^2+y^2}}$ as $(x,y)\to0$?

FInding $f_{xy}$ and $f_{yx}$ given a piecewise function

Why doesn't the limit $\lim_{r \to 0} \frac{r (\cos^2\theta\sin\theta)}{r^2\cos^4\theta + \sin^2\theta}$ exist?

Calculate $\lim_{x\to{0^+}}\frac{\log_{\sin{x}}{\cos{x}}}{\log_{\sin{\frac{x}{2}}}\cos{\frac{x}{2}}}$

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