Question

How to show a function is differentiable at every point in $\mathbb{R}^2$?

score 241 · Answer 1 · 2026-04-10 19:51:23

241

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How to show a function is differentiable at every point in $\mathbb{R}^2$?

Published on 10 Apr 2026 - 19:51

score 35 · Answer 2 · 2026-05-14 12:35:24

35

Views

How to compute limit (or show it doesn't exist)?

Published on 14 May 2026 - 12:35

score 133 · Answer 3 · 2026-04-15 16:37:25

133

Views

Finding value of $ \lim_{n\rightarrow \infty}\prod^{n}_{k=1}\frac{4k^2}{4k^2-1}$

Published on 15 Apr 2026 - 16:37

score 532 · Answer 4 · 2026-04-17 07:47:08

532

Views

Evaluate $\lim_{n \to \infty} \frac{1^k+2^k+...+n^k}{n^k}-\frac{n}{k+1} $

Published on 17 Apr 2026 - 7:47

score 97 · Answer 5 · 2026-04-14 02:36:34

97

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Finding the mistake in the evaluation of $\lim_{n \to \infty} \frac{1^k+2^k+...+n^k}{n^k}-\frac{n}{k+1} $

Published on 14 Apr 2026 - 2:36

score 265 · Answer 6 · 2026-04-17 06:12:42

265

Views

Prove by the limit definition that $\lim_{x\rightarrow 2}\frac{x^2-1}{x-3}=-3$

Published on 17 Apr 2026 - 6:12

score 128 · Answer 7 · 2026-04-16 15:35:42

128

Views

Show that $\lim_{x \rightarrow \infty} f'(x)<1$ implies $f(x_0)<x_0$ for some $x_0$

Published on 16 Apr 2026 - 15:35

score 50 · Answer 8 · 2026-05-04 17:03:07

50

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How to determine that the limit of a sequence of functions is limited?

Published on 04 May 2026 - 17:03

score 56 · Answer 9 · 2026-04-15 17:40:56

56

Views

Does $\lim_{x\to a}\lim_{y\to b}f(x,y)$ allways equal $\lim_{y\to b}\lim_{x\to a}f(x,y)$?

Published on 15 Apr 2026 - 17:40

score 609 · Answer 10 · 2026-04-17 14:55:23

609

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Suppose that $lim_{n\rightarrow \infty} a_n = L$ and $L \neq 0$. Prove there is some $N$ such that $a_n \neq 0$ for all $n \geq N$.

Published on 17 Apr 2026 - 14:55

score 111 · Answer 11 · 2026-05-10 20:50:55

111

Views

Prove the following limit equals $\pi$

Published on 10 May 2026 - 20:50

score 66 · Answer 12 · 2026-04-24 12:29:07

66

Views

Random Walk With Fair Coin Finding the limit

Published on 24 Apr 2026 - 12:29

score 75 · Answer 13 · 2026-04-16 17:27:04

75

Views

Showing a sub-sequence ($r_{n_{k}}$) converges to $x$

Published on 16 Apr 2026 - 17:27

score 98 · Answer 14 · 2026-04-15 09:57:14

98

Views

Evaluating the limit : $ \lim_{n \to \infty} \frac{ \sum_{k=1}^n n^k}{ \sum_{k=1}^n k^n}$

Published on 15 Apr 2026 - 9:57

score 74 · Answer 15 · 2026-04-11 09:11:38

74

Views

How to rewrite and solve with L'Hôpitals?

Published on 11 Apr 2026 - 9:11

List Question

How to show a function is differentiable at every point in $\mathbb{R}^2$?

How to compute limit (or show it doesn't exist)?

Finding value of $ \lim_{n\rightarrow \infty}\prod^{n}_{k=1}\frac{4k^2}{4k^2-1}$

Evaluate $\lim_{n \to \infty} \frac{1^k+2^k+...+n^k}{n^k}-\frac{n}{k+1} $

Finding the mistake in the evaluation of $\lim_{n \to \infty} \frac{1^k+2^k+...+n^k}{n^k}-\frac{n}{k+1} $

Prove by the limit definition that $\lim_{x\rightarrow 2}\frac{x^2-1}{x-3}=-3$

Show that $\lim_{x \rightarrow \infty} f'(x)<1$ implies $f(x_0)<x_0$ for some $x_0$

How to determine that the limit of a sequence of functions is limited?

Does $\lim_{x\to a}\lim_{y\to b}f(x,y)$ allways equal $\lim_{y\to b}\lim_{x\to a}f(x,y)$?

Suppose that $lim_{n\rightarrow \infty} a_n = L$ and $L \neq 0$. Prove there is some $N$ such that $a_n \neq 0$ for all $n \geq N$.

Prove the following limit equals $\pi$

Random Walk With Fair Coin Finding the limit

Showing a sub-sequence ($r_{n_{k}}$) converges to $x$

Evaluating the limit : $ \lim_{n \to \infty} \frac{ \sum_{k=1}^n n^k}{ \sum_{k=1}^n k^n}$

How to rewrite and solve with L'Hôpitals?

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