Question

Prove $f(r, \theta) = (\cos\theta, \sin\theta)$ is continuous

score 164 · Answer 1 · 2022-11-08 01:25:52

164

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Prove $f(r, \theta) = (\cos\theta, \sin\theta)$ is continuous

Published on 08 Nov 2022 - 1:25

score 130 · Answer 2 · 2022-11-10 08:30:34

130

Views

What is wrong? $\epsilon$-$\delta$ proof that $\lim \limits_{x \to 1} \sqrt{x}=1$

Published on 10 Nov 2022 - 8:30

score 48 · Answer 3 · 2026-04-08 00:43:40

48

Views

Really simple question about a specific Cauchy sequence in a generic normed space.

Published on 08 Apr 2026 - 0:43

score 241 · Answer 4 · 2022-11-13 21:58:37

241

Views

Epsilon-Delta Proof Of a Function - Do Epsilon and Delta decrease (resp. increase) With Respect to Each Other?

Published on 13 Nov 2022 - 21:58

score 173 · Answer 5 · 2026-03-27 07:20:09

173

Views

Proving discontinuity using $\epsilon-\delta$ definition of continuity

Published on 27 Mar 2026 - 7:20

score 48 · Answer 6 · 2022-11-18 06:30:44

48

Views

What actually is needed in proving a function is continuous at a point x0

Published on 18 Nov 2022 - 6:30

score 63 · Answer 7 · 2022-11-20 23:14:43

63

Views

Unusual $\varepsilon-\delta$-condition for a real function

Published on 20 Nov 2022 - 23:14

score 60 · Answer 8 · 2022-11-22 21:42:28

60

Views

Easy limit using Ɛ-δ proof

Published on 22 Nov 2022 - 21:42

score 74 · Answer 9 · 2022-11-24 21:49:44

74

Views

Prove using the epsilon-delta

Published on 24 Nov 2022 - 21:49

score 57 · Answer 10 · 2022-11-30 02:23:17

57

Views

Proof that $\lim _{x\to \infty }(\sqrt{x^2+2x}-x)=1$ using the epsilon delta definition of limit

Published on 30 Nov 2022 - 2:23

score 83 · Answer 11 · 2022-11-30 21:14:43

83

Views

I'm looking for resources to understand the fundamentals of delta-epsilon proofs

Published on 30 Nov 2022 - 21:14

score 536 · Answer 12 · 2022-12-01 03:16:29

536

Views

Use the formal definition of a limit for sequences to prove the limit of a sequence . Where Did I Go Wrong?

Published on 01 Dec 2022 - 3:16

score 56 · Answer 13 · 2026-04-09 02:16:28

56

Views

Finding multivariable limit using Epsilon-Delta definition

Published on 09 Apr 2026 - 2:16

score 68 · Answer 14 · 2022-12-06 08:56:35

Prove continuity of $f: [\frac{1}{2},\infty ) \rightarrow \mathbb{R}: x \mapsto \sqrt{2x-1}$ for $x_0>\frac{1}{2}$ with Epsilon-delta definition

score 72 · Answer 15 · 2022-12-06 14:30:48

72

Views

Is this epsilon-delta proof that limit is not a number correct?

Published on 06 Dec 2022 - 14:30

List Question

Prove $f(r, \theta) = (\cos\theta, \sin\theta)$ is continuous

What is wrong? $\epsilon$-$\delta$ proof that $\lim \limits_{x \to 1} \sqrt{x}=1$

Really simple question about a specific Cauchy sequence in a generic normed space.

Epsilon-Delta Proof Of a Function - Do Epsilon and Delta decrease (resp. increase) With Respect to Each Other?

Proving discontinuity using $\epsilon-\delta$ definition of continuity

What actually is needed in proving a function is continuous at a point x0

Unusual $\varepsilon-\delta$-condition for a real function

Easy limit using Ɛ-δ proof

Prove using the epsilon-delta

Proof that $\lim _{x\to \infty }(\sqrt{x^2+2x}-x)=1$ using the epsilon delta definition of limit

I'm looking for resources to understand the fundamentals of delta-epsilon proofs

Use the formal definition of a limit for sequences to prove the limit of a sequence . Where Did I Go Wrong?

Finding multivariable limit using Epsilon-Delta definition

Prove continuity of $f: [\frac{1}{2},\infty ) \rightarrow \mathbb{R}: x \mapsto \sqrt{2x-1}$ for $x_0>\frac{1}{2}$ with Epsilon-delta definition

Is this epsilon-delta proof that limit is not a number correct?

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