Question

Is the function $ \exp(2\pi i /\epsilon) $ equivalent to zero?

score 87 · Answer 1 · 2026-04-13 12:12:55

87

Views

Is the function $ \exp(2\pi i /\epsilon) $ equivalent to zero?

Published on 13 Apr 2026 - 12:12

score 413 · Answer 2 · 2026-05-15 03:28:02

413

Views

Definition of limit: $\forall n>N$ or $\forall n \geq N$?

Published on 15 May 2026 - 3:28

score 73 · Answer 3 · 2026-04-17 04:48:37

73

Views

General question on $\epsilon$ and choice of $a$ and $b$

Published on 17 Apr 2026 - 4:48

score 570 · Answer 4 · 2026-05-04 19:18:05

570

Views

Find limit $\lim_{n\to \infty}\frac{\sum_{k=1}^n k^n}{n^n}$.

Published on 04 May 2026 - 19:18

score 2k · Answer 5 · 2026-04-12 14:33:35

2k

Views

Can you prove the power rule for irrational exponents without invoking $e$?

Published on 12 Apr 2026 - 14:33

score 56 · Answer 6 · 2026-04-16 09:14:57

56

Views

Proving $\lim_{x\to c} f(x) \le \lim_{x \to c } g(x)$

Published on 16 Apr 2026 - 9:14

score 210 · Answer 7 · 2026-04-16 08:16:44

210

Views

Evaluating $\lim_{n\to\infty}\frac1{n}\int_{0}^{\pi /2}{\frac{\sin^2nx}{\sin^2 x}f(x)\;dx}$, for continuous $f$

Published on 16 Apr 2026 - 8:16

score 85 · Answer 8 · 2026-04-16 15:55:56

85

Views

Prove by definition $\lim_{n\to\infty} \sqrt{\frac{n}{n+1}}=1$

Published on 16 Apr 2026 - 15:55

score 121 · Answer 9 · 2026-04-11 23:48:03

121

Views

How to determine $\lim_{h \to 0} \frac{1- 9^h}{h}$

Published on 11 Apr 2026 - 23:48

score 412 · Answer 10 · 2026-04-15 16:09:07

412

Views

Evaluation of $\lim_{x \to 0} \frac{\sin(x+a) -\sin(a)}{\sin2x}$.

Published on 15 Apr 2026 - 16:09

score 57 · Answer 11 · 2026-04-15 17:04:59

57

Views

Show the existence of a function $g$continuous such that. $g(x+1) - g(x)= f(x).$

Published on 15 Apr 2026 - 17:04

score 70 · Answer 12 · 2026-04-12 09:57:49

70

Views

Prove if sequence is convergent then $a = 1$

Published on 12 Apr 2026 - 9:57

score 63 · Answer 13 · 2026-04-14 18:13:54

63

Views

Convergence of a sum $\sum_{n \geq1} \frac{1}{(a^n+n)}$

Published on 14 Apr 2026 - 18:13

score 94 · Answer 14 · 2026-04-15 06:05:00

94

Views

Find a limit for x.

Published on 15 Apr 2026 - 6:05

score 617 · Answer 15 · 2026-04-13 12:26:23

617

Views

limit of quotient is quotient of limits

Published on 13 Apr 2026 - 12:26

List Question

Is the function $ \exp(2\pi i /\epsilon) $ equivalent to zero?

Definition of limit: $\forall n>N$ or $\forall n \geq N$?

General question on $\epsilon$ and choice of $a$ and $b$

Find limit $\lim_{n\to \infty}\frac{\sum_{k=1}^n k^n}{n^n}$.

Can you prove the power rule for irrational exponents without invoking $e$?

Proving $\lim_{x\to c} f(x) \le \lim_{x \to c } g(x)$

Evaluating $\lim_{n\to\infty}\frac1{n}\int_{0}^{\pi /2}{\frac{\sin^2nx}{\sin^2 x}f(x)\;dx}$, for continuous $f$

Prove by definition $\lim_{n\to\infty} \sqrt{\frac{n}{n+1}}=1$

How to determine $\lim_{h \to 0} \frac{1- 9^h}{h}$

Evaluation of $\lim_{x \to 0} \frac{\sin(x+a) -\sin(a)}{\sin2x}$.

Show the existence of a function $g$continuous such that. $g(x+1) - g(x)= f(x).$

Prove if sequence is convergent then $a = 1$

Convergence of a sum $\sum_{n \geq1} \frac{1}{(a^n+n)}$

Find a limit for x.

limit of quotient is quotient of limits

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