Question

Identities for the soft minimum/maximum

score 272 · Answer 1 · 2026-05-14 20:51:31

272

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Identities for the soft minimum/maximum

Published on 14 May 2026 - 20:51

score 26 · Answer 2 · 2026-05-16 19:54:59

26

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$\sqrt{n}t_{n} = O(1)$ is weaker than $\sqrt{n}t_{n} \to k \in \mathbb{R}$?

Published on 16 May 2026 - 19:54

score 80 · Answer 3 · 2026-05-11 05:07:59

80

Views

On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

Published on 11 May 2026 - 5:07

score 46 · Answer 4 · 2026-05-15 10:48:50

Behaviour of a continous function $f \text{ : } \lim_{n \to \infty} f(\frac{1}{2n}) = 1$ and $\lim_{n \to \infty} f(\frac{1}{2n+1}) = 2$

score 162 · Answer 5 · 2026-05-15 10:45:36

162

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Discontinuity set of an increasing right continuous function

Published on 15 May 2026 - 10:45

score 45 · Answer 6 · 2026-04-17 10:16:28

45

Views

Derivation of $|f(x)-f(x_{0})|<\frac{\epsilon}{2(|g(x_{0})|+\epsilon+1)}\;\;\forall\; x\;:\;|x-x_{0}|<\delta_{1}$

Published on 17 Apr 2026 - 10:16

score 53 · Answer 7 · 2026-04-14 12:31:46

53

Views

Linear independence of iterates of a non-continuous function.

Published on 14 Apr 2026 - 12:31

score 63 · Answer 8 · 2026-04-22 16:21:08

63

Views

How can one show the following quotient has a limit of $1$?

Published on 22 Apr 2026 - 16:21

score 33 · Answer 9 · 2026-04-17 02:05:56

33

Views

The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

Published on 17 Apr 2026 - 2:05

score 316 · Answer 10 · 2026-05-15 10:46:28

316

Views

$f$ has no interior extreme point, therefore, $f$ is strictly increasing or decreasing function

Published on 15 May 2026 - 10:46

score 2.3k · Answer 11 · 2026-05-11 04:40:48

2.3k

Views

Calculus, how to find the value of delta in $\epsilon$-$\delta$ limit proof

Published on 11 May 2026 - 4:40

score 93 · Answer 12 · 2026-05-16 17:33:33

93

Views

A question about probability space related to independent events

Published on 16 May 2026 - 17:33

score 389 · Answer 13 · 2026-05-11 04:17:57

389

Views

Evaluating $\lim_{x\rightarrow 0}\frac{\cos(ax) - \cos(bx)}{\sin^2(x)}$

Published on 11 May 2026 - 4:17

score 317 · Answer 14 · 2026-04-15 10:31:04

Let $f(x)$ be Riemann-integrable, $F(x)=\int_a^x f(t)dt.$ Then $F(x)$ is differentiable, and $F'(x)=f(x)$ almost everywhere.

score 350 · Answer 15 · 2026-05-14 13:49:46

350

Views

Continuous function over compact subset and non-degenerate critical points

Published on 14 May 2026 - 13:49

List Question

Identities for the soft minimum/maximum

$\sqrt{n}t_{n} = O(1)$ is weaker than $\sqrt{n}t_{n} \to k \in \mathbb{R}$?

On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

Behaviour of a continous function $f \text{ : } \lim_{n \to \infty} f(\frac{1}{2n}) = 1$ and $\lim_{n \to \infty} f(\frac{1}{2n+1}) = 2$

Discontinuity set of an increasing right continuous function

Derivation of $|f(x)-f(x_{0})|<\frac{\epsilon}{2(|g(x_{0})|+\epsilon+1)}\;\;\forall\; x\;:\;|x-x_{0}|<\delta_{1}$

Linear independence of iterates of a non-continuous function.

How can one show the following quotient has a limit of $1$?

The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

$f$ has no interior extreme point, therefore, $f$ is strictly increasing or decreasing function

Calculus, how to find the value of delta in $\epsilon$-$\delta$ limit proof

A question about probability space related to independent events

Evaluating $\lim_{x\rightarrow 0}\frac{\cos(ax) - \cos(bx)}{\sin^2(x)}$

Let $f(x)$ be Riemann-integrable, $F(x)=\int_a^x f(t)dt.$ Then $F(x)$ is differentiable, and $F'(x)=f(x)$ almost everywhere.

Continuous function over compact subset and non-degenerate critical points

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