Question

Replace matrix approaching zero in a limit with a sequence of integers

score 29 · Answer 1 · 2026-04-17 12:24:14

29

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Replace matrix approaching zero in a limit with a sequence of integers

Published on 17 Apr 2026 - 12:24

score 81 · Answer 2 · 2026-04-14 05:25:49

81

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Find the limit of a recursively defined sequence

Published on 14 Apr 2026 - 5:25

score 197 · Answer 3 · 2026-04-11 11:02:24

197

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Limits of a product

Published on 11 Apr 2026 - 11:02

score 58 · Answer 4 · 2026-04-24 02:27:40

58

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Study the differentiability of $f(x,y)=\begin{cases}x^2+y&\wedge&x\geq 1\\3x-y&\wedge&x<1\end{cases}$ at $(1,1)$

Published on 24 Apr 2026 - 2:27

score 89 · Answer 5 · 2026-04-15 16:48:57

89

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Let $P$ a polynomial with positive coefficients.Determine $\lim_{ x\to\infty }\frac{ \lfloor P(x) \rfloor}{P(\lfloor x \rfloor)}$

Published on 15 Apr 2026 - 16:48

score 69 · Answer 6 · 2026-04-14 05:30:22

69

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Is there a convex function tending to $\infty$ and bounded above by $(\log x)^2$?

Published on 14 Apr 2026 - 5:30

score 102 · Answer 7 · 2026-04-24 03:43:26

102

Views

Elementary doubt about differentiability of a two variables function

Published on 24 Apr 2026 - 3:43

score 1.4k · Answer 8 · 2026-04-10 03:53:14

1.4k

Views

Showing that a Set in $\mathbb{R}^2$ is not bounded.

Published on 10 Apr 2026 - 3:53

score 106 · Answer 9 · 2026-04-17 01:30:53

Find $\lim\limits_{n\to \infty}x_{n}$ if for all $n\ge 1$ $\{x_n\}$denotes a sequence of real numbers where $x_{n+1}=\frac{1}{2}(x_n+\frac{5}{x_n})$

score 59 · Answer 10 · 2026-04-16 09:02:40

59

Views

$X_n\rightarrow_{a.s.}Y $ implies $\frac{Z}{X_n}\rightarrow_{a.s.}\frac{Z}{Y} $

Published on 16 Apr 2026 - 9:02

score 1.2k · Answer 11 · 2026-04-14 06:42:45

1.2k

Views

Proving Hermite's Identity in a different approach

Published on 14 Apr 2026 - 6:42

score 1.1k · Answer 12 · 2026-04-14 09:17:46

1.1k

Views

If two one sided limits exist, the two sided limit exists.

Published on 14 Apr 2026 - 9:17

score 43 · Answer 13 · 2026-04-13 09:44:58

43

Views

Unique solutions to infinite limits.

Published on 13 Apr 2026 - 9:44

score 52 · Answer 14 · 2026-04-13 09:46:12

52

Views

How to prove the existence of the limit？

Published on 13 Apr 2026 - 9:46

score 280 · Answer 15 · 2026-04-12 23:28:38

280

Views

Epsilon-Delta proof of sum of two continuous functions.

Published on 12 Apr 2026 - 23:28

List Question

Replace matrix approaching zero in a limit with a sequence of integers

Find the limit of a recursively defined sequence

Limits of a product

Study the differentiability of $f(x,y)=\begin{cases}x^2+y&\wedge&x\geq 1\\3x-y&\wedge&x<1\end{cases}$ at $(1,1)$

Let $P$ a polynomial with positive coefficients.Determine $\lim_{ x\to\infty }\frac{ \lfloor P(x) \rfloor}{P(\lfloor x \rfloor)}$

Is there a convex function tending to $\infty$ and bounded above by $(\log x)^2$?

Elementary doubt about differentiability of a two variables function

Showing that a Set in $\mathbb{R}^2$ is not bounded.

Find $\lim\limits_{n\to \infty}x_{n}$ if for all $n\ge 1$ $\{x_n\}$denotes a sequence of real numbers where $x_{n+1}=\frac{1}{2}(x_n+\frac{5}{x_n})$

$X_n\rightarrow_{a.s.}Y $ implies $\frac{Z}{X_n}\rightarrow_{a.s.}\frac{Z}{Y} $

Proving Hermite's Identity in a different approach

If two one sided limits exist, the two sided limit exists.

Unique solutions to infinite limits.

How to prove the existence of the limit？

Epsilon-Delta proof of sum of two continuous functions.

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