Question

How to calculate $\lim_{z\rightarrow \frac{1 + i \sqrt{3}}{2}} \frac{z^3 - 1}{z^2 + 2z -1}$

score 56 · Answer 1 · 2026-04-15 22:10:25

How to calculate $\lim_{z\rightarrow \frac{1 + i \sqrt{3}}{2}} \frac{z^3 - 1}{z^2 + 2z -1}$

Published on 15 Apr 2026 - 22:10

score 198 · Answer 2 · 2026-05-14 21:29:39

For each of the following evaluate the limit or show that the limit does not exist $\lim_{(x, y) \to (0,0)} \frac{\sin(x-y)}{||(x, y)||}$

score 2.2k · Answer 3 · 2026-04-14 13:08:14

2.2k

Views

Show that the limit does not exist $\lim_{(x, y) \to (0,0)}\frac{5x^2}{x^2 + y^2}$

Published on 14 Apr 2026 - 13:08

score 202 · Answer 4 · 2026-05-14 21:25:51

202

Views

Determine if this two-variable piecewise function is continuous

Published on 14 May 2026 - 21:25

score 38 · Answer 5 · 2026-04-15 08:24:06

38

Views

Impossible to conclude about limit even if we have a strong inequality

Published on 15 Apr 2026 - 8:24

score 137 · Answer 6 · 2026-04-16 02:23:07

137

Views

I was told that I couldn't "pull the limit in". Tell me exactly how I'm messing up, please!

Published on 16 Apr 2026 - 2:23

score 29 · Answer 7 · 2026-05-14 21:26:28

29

Views

Proving the continuity of a function

Published on 14 May 2026 - 21:26

score 62 · Answer 8 · 2026-04-14 20:37:00

62

Views

limit $ \lim_{x \to 0} \frac{\sqrt{x}}{\sqrt{x+1} + \sqrt{x}} $

Published on 14 Apr 2026 - 20:37

score 123 · Answer 9 · 2026-04-13 13:38:30

123

Views

Can a bounded and a NON monotonic succession converge?

Published on 13 Apr 2026 - 13:38

score 63 · Answer 10 · 2026-04-17 12:06:57

63

Views

Must there be INFINITE negative elements on a succession which is NOT bounded below?

Published on 17 Apr 2026 - 12:06

score 76 · Answer 11 · 2026-04-14 06:49:07

76

Views

$\frac{u_{n+1}}{u_n}\rightarrow 1$ but $(u_n)$ does not have a limit in $\bar{\mathbb{R}}$

Published on 14 Apr 2026 - 6:49

score 182 · Answer 12 · 2026-04-16 15:07:41

Can't we compute $\lim_{n \to \infty}\frac{1+ \cdots +n}{n^2}=\lim_{n\to\infty}\frac{1}{n^2}+\cdots +\lim_{n\to\infty}\frac{n}{n^2}=0$?

score 128 · Answer 13 · 2026-04-12 10:48:43

128

Views

Finding the limit of an expression involving two Lerch transcendent functions

Published on 12 Apr 2026 - 10:48

score 86 · Answer 14 · 2026-04-14 00:16:04

86

Views

If $\lim_{n \to \infty} g(n) = 0$, then what can we say about $\lim_{h \to 0} \lim_{n \to \infty} g(nh)$?

Published on 14 Apr 2026 - 0:16

score 74 · Answer 15 · 2026-04-14 04:25:53

74

Views

Estimate on Limit of Recursive Sequence

Published on 14 Apr 2026 - 4:25

List Question

How to calculate $\lim_{z\rightarrow \frac{1 + i \sqrt{3}}{2}} \frac{z^3 - 1}{z^2 + 2z -1}$

For each of the following evaluate the limit or show that the limit does not exist $\lim_{(x, y) \to (0,0)} \frac{\sin(x-y)}{||(x, y)||}$

Show that the limit does not exist $\lim_{(x, y) \to (0,0)}\frac{5x^2}{x^2 + y^2}$

Determine if this two-variable piecewise function is continuous

Impossible to conclude about limit even if we have a strong inequality

I was told that I couldn't "pull the limit in". Tell me exactly how I'm messing up, please!

Proving the continuity of a function

limit $ \lim_{x \to 0} \frac{\sqrt{x}}{\sqrt{x+1} + \sqrt{x}} $

Can a bounded and a NON monotonic succession converge?

Must there be INFINITE negative elements on a succession which is NOT bounded below?

$\frac{u_{n+1}}{u_n}\rightarrow 1$ but $(u_n)$ does not have a limit in $\bar{\mathbb{R}}$

Can't we compute $\lim_{n \to \infty}\frac{1+ \cdots +n}{n^2}=\lim_{n\to\infty}\frac{1}{n^2}+\cdots +\lim_{n\to\infty}\frac{n}{n^2}=0$?

Finding the limit of an expression involving two Lerch transcendent functions

If $\lim_{n \to \infty} g(n) = 0$, then what can we say about $\lim_{h \to 0} \lim_{n \to \infty} g(nh)$?

Estimate on Limit of Recursive Sequence

Trending Questions

Popular # Hahtags

Popular Questions