Question

Solution verification of the problem that the sequence $\{ \cos ( \frac{n\pi}{3} )\}$ does not converge.

score 88 · Answer 1 · 2022-06-29 08:34:27

88

Views

Solution verification of the problem that the sequence $\{ \cos ( \frac{n\pi}{3} )\}$ does not converge.

Published on 29 Jun 2022 - 8:34

score 717 · Answer 2 · 2022-07-01 07:53:29

717

Views

Prove the limit: $\lim [\sqrt{4n^2 +n} - 2n] = \frac{1}{4}$

Published on 01 Jul 2022 - 7:53

score 127 · Answer 3 · 2022-07-01 23:56:56

127

Views

Proving $\lim_{x \to 2^{+}} \frac{x - 2}{\sqrt{x^{2} - 4}} + 1 = 1$ using $\epsilon$-$\delta$ definition

Published on 01 Jul 2022 - 23:56

score 105 · Answer 4 · 2026-04-06 06:29:16

105

Views

Is this epsilon-delta proof involving the floor function correct?

Published on 06 Apr 2026 - 6:29

score 221 · Answer 5 · 2022-07-06 00:10:18

221

Views

Intuition behind the $\epsilon -\delta$ Definition of Limits

Published on 06 Jul 2022 - 0:10

score 642 · Answer 6 · 2022-07-07 21:48:18

642

Views

If whenever $|x-a|<\delta$, $|y-a|<\delta$ then $|f(x)-f(y)|<\epsilon$, is this equiv. to $f$ cont. at $c$ then $f$ cont. on some interval around $c$?

Published on 07 Jul 2022 - 21:48

score 154 · Answer 7 · 2022-07-10 20:33:54

154

Views

Show that $\lim_{x \to 0} \frac{1}{x^2}$ does not exist

Published on 10 Jul 2022 - 20:33

score 39 · Answer 8 · 2022-07-10 20:40:50

39

Views

Show that if $\lim_{x \to 0} x^2 = 0$, then $\lim_{x \to 0} x^n = 0$ (proof confirmation)

Published on 10 Jul 2022 - 20:40

score 69 · Answer 9 · 2022-07-15 19:27:09

69

Views

Doubt in an example of sequence using $\varepsilon$

Published on 15 Jul 2022 - 19:27

score 753 · Answer 10 · 2022-07-16 18:08:07

753

Views

prove using the definition of a limit that $\lim_{(x,y)\to (1,2)} (x−y)^2=1$

Published on 16 Jul 2022 - 18:08

score 131 · Answer 11 · 2026-04-08 01:02:28

131

Views

Fourier transform is continuous using $\epsilon$-$\delta$ definition of continuity

Published on 08 Apr 2026 - 1:02

score 118 · Answer 12 · 2022-07-20 18:04:55

118

Views

Solving exponential inequality, epsilion delta proof

Published on 20 Jul 2022 - 18:04

score 30 · Answer 13 · 2026-04-01 09:30:12

30

Views

Why doesn't the limit exist after changing the epsilon-delta definition?

Published on 01 Apr 2026 - 9:30

score 76 · Answer 14 · 2022-07-22 16:06:29

76

Views

Check continuity with $\epsilon$-$\delta$ criterion

Published on 22 Jul 2022 - 16:06

score 125 · Answer 15 · 2026-04-07 19:03:41

125

Views

Understanding algebra used in $\varepsilon$-$\delta$ definition

Published on 07 Apr 2026 - 19:03

List Question

Solution verification of the problem that the sequence $\{ \cos ( \frac{n\pi}{3} )\}$ does not converge.

Prove the limit: $\lim [\sqrt{4n^2 +n} - 2n] = \frac{1}{4}$

Proving $\lim_{x \to 2^{+}} \frac{x - 2}{\sqrt{x^{2} - 4}} + 1 = 1$ using $\epsilon$-$\delta$ definition

Is this epsilon-delta proof involving the floor function correct?

Intuition behind the $\epsilon -\delta$ Definition of Limits

If whenever $|x-a|<\delta$, $|y-a|<\delta$ then $|f(x)-f(y)|<\epsilon$, is this equiv. to $f$ cont. at $c$ then $f$ cont. on some interval around $c$?

Show that $\lim_{x \to 0} \frac{1}{x^2}$ does not exist

Show that if $\lim_{x \to 0} x^2 = 0$, then $\lim_{x \to 0} x^n = 0$ (proof confirmation)

Doubt in an example of sequence using $\varepsilon$

prove using the definition of a limit that $\lim_{(x,y)\to (1,2)} (x−y)^2=1$

Fourier transform is continuous using $\epsilon$-$\delta$ definition of continuity

Solving exponential inequality, epsilion delta proof

Why doesn't the limit exist after changing the epsilon-delta definition?

Check continuity with $\epsilon$-$\delta$ criterion

Understanding algebra used in $\varepsilon$-$\delta$ definition

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