Question

Evaluate the $\lim_{n \rightarrow \infty} \frac{2n^{2} + 3}{n^{2} - 7}$ using the $\epsilon$ - definition, assuming the Archemedian property

score 150 · Answer 1 · 2026-04-16 13:49:09

150

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Evaluate the $\lim_{n \rightarrow \infty} \frac{2n^{2} + 3}{n^{2} - 7}$ using the $\epsilon$ - definition, assuming the Archemedian property

Published on 16 Apr 2026 - 13:49

score 659 · Answer 2 · 2026-04-15 21:14:56

659

Views

Finding $\text{Res}(f,0)$ where $f(z)=\frac{1}{z^2\sin(z)}$

Published on 15 Apr 2026 - 21:14

score 33 · Answer 3 · 2026-04-15 09:47:21

33

Views

Use the definition of limit to prove $\lim_{x\to0}\frac{1}{x^2-1}=-1$

Published on 15 Apr 2026 - 9:47

score 79 · Answer 4 · 2026-05-10 15:49:10

79

Views

description in mathematics

Published on 10 May 2026 - 15:49

score 206 · Answer 5 · 2026-04-16 14:39:15

206

Views

Finding limit $\ \lim_{x \to 2} \frac{\cos \frac{\pi}{x}}{x-2}$ without l'hopital's

Published on 16 Apr 2026 - 14:39

score 375 · Answer 6 · 2026-04-12 05:13:06

375

Views

Does $\dfrac{d}{dx} f(x) = 0 \Rightarrow f(x)$ is a constant function?

Published on 12 Apr 2026 - 5:13

score 214 · Answer 7 · 2026-04-15 02:19:32

214

Views

Why is $\lim_{x \to 0} x\cdot \left\lfloor\frac{1}{x}\right\rfloor = 1$?

Published on 15 Apr 2026 - 2:19

score 73 · Answer 8 · 2026-04-15 22:12:11

73

Views

How to find limit of this question: $\lim\limits_{x\to\frac{\pi}{2}} \frac{a^{\cos x} - 1}{ \cos x}$

Published on 15 Apr 2026 - 22:12

score 53 · Answer 9 · 2026-05-05 15:47:08

53

Views

Compute $\frac{d}{dx}(\frac{2x+1}{x+3})$ using definition of derivative.

Published on 05 May 2026 - 15:47

score 402 · Answer 10 · 2026-04-17 03:30:51

402

Views

Any idea how to find $\lim_{x\to 0} \frac{\sqrt{1-\cos(x^2)}}{1-\cos(x)}$?

Published on 17 Apr 2026 - 3:30

score 102 · Answer 11 · 2026-04-14 00:08:05

102

Views

Does $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}i^{n(n+1)}$ converge?

Published on 14 Apr 2026 - 0:08

score 133 · Answer 12 · 2026-04-15 17:46:14

133

Views

Showing that the $\alpha$-branch of the complex square root is discontinuous at every $z \in L_\alpha$.

Published on 15 Apr 2026 - 17:46

score 106 · Answer 13 · 2026-05-14 05:00:33

106

Views

Computing the limit or showing that the limit does not exist: $\lim_{(x,y)\to(0,0)}\frac{ x ^ 2 + 3 x - 4 y }{ x - y}$

Published on 14 May 2026 - 5:00

score 50 · Answer 14 · 2026-04-11 21:30:46

50

Views

Evaluating limit of sequence from $\epsilon$ definition

Published on 11 Apr 2026 - 21:30

score 52 · Answer 15 · 2026-05-14 05:00:16

52

Views

Calculating the value of the limit

Published on 14 May 2026 - 5:00

List Question

Evaluate the $\lim_{n \rightarrow \infty} \frac{2n^{2} + 3}{n^{2} - 7}$ using the $\epsilon$ - definition, assuming the Archemedian property

Finding $\text{Res}(f,0)$ where $f(z)=\frac{1}{z^2\sin(z)}$

Use the definition of limit to prove $\lim_{x\to0}\frac{1}{x^2-1}=-1$

description in mathematics

Finding limit $\ \lim_{x \to 2} \frac{\cos \frac{\pi}{x}}{x-2}$ without l'hopital's

Does $\dfrac{d}{dx} f(x) = 0 \Rightarrow f(x)$ is a constant function?

Why is $\lim_{x \to 0} x\cdot \left\lfloor\frac{1}{x}\right\rfloor = 1$?

How to find limit of this question: $\lim\limits_{x\to\frac{\pi}{2}} \frac{a^{\cos x} - 1}{ \cos x}$

Compute $\frac{d}{dx}(\frac{2x+1}{x+3})$ using definition of derivative.

Any idea how to find $\lim_{x\to 0} \frac{\sqrt{1-\cos(x^2)}}{1-\cos(x)}$?

Does $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}i^{n(n+1)}$ converge?

Showing that the $\alpha$-branch of the complex square root is discontinuous at every $z \in L_\alpha$.

Computing the limit or showing that the limit does not exist: $\lim_{(x,y)\to(0,0)}\frac{ x ^ 2 + 3 x - 4 y }{ x - y}$

Evaluating limit of sequence from $\epsilon$ definition

Calculating the value of the limit

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