Question

how to prove that if given $\lim_{x\to a}f(x)=L$ then $\lim_{x\to a}\frac{1}{f(x)}=\frac{1}{L}$

score 64 · Answer 1 · 2018-10-26 07:33:03

64

Views

how to prove that if given $\lim_{x\to a}f(x)=L$ then $\lim_{x\to a}\frac{1}{f(x)}=\frac{1}{L}$

Published on 26 Oct 2018 - 7:33

score 128 · Answer 2 · 2018-10-26 21:57:01

128

Views

The derivative of $x^\frac{1}{3}$

Published on 26 Oct 2018 - 21:57

score 52 · Answer 3 · 2018-10-29 15:06:52

52

Views

How to find the delta for the following problem?

Published on 29 Oct 2018 - 15:06

score 71 · Answer 4 · 2018-10-29 18:01:05

71

Views

Why is the Continuity of the Constant, Linear and Identity Functions not Proved with the Definition of Continuity

Published on 29 Oct 2018 - 18:01

score 33 · Answer 5 · 2018-10-30 00:29:21

33

Views

What is the most accurate method to find a delta dependent on epsilon in this Real Analysis problem?

Published on 30 Oct 2018 - 0:29

score 92 · Answer 6 · 2018-10-30 01:11:23

92

Views

Proof for $\lim_{x\to -\infty} \frac{1}{x} = 0$

Published on 30 Oct 2018 - 1:11

score 111 · Answer 7 · 2018-10-30 23:28:34

111

Views

$\epsilon-\delta$ proof for $ \lim _ {x \rightarrow 9}\frac{x-9}{\sqrt{x}-3}=6. $

Published on 30 Oct 2018 - 23:28

score 67 · Answer 8 · 2018-10-31 11:23:43

67

Views

Why $f(a_n)\to f(a)$ can imply continuity?

Published on 31 Oct 2018 - 11:23

score 74 · Answer 9 · 2018-10-31 20:03:33

74

Views

Is this epsilon delta argument that $\lim_{n \to\infty} (0.3)^{\frac{1}{n}} = 1$ valid?

Published on 31 Oct 2018 - 20:03

score 187 · Answer 10 · 2018-11-02 21:07:41

187

Views

Need help with some tricky $\epsilon, \delta$ proofs

Published on 02 Nov 2018 - 21:07

score 62 · Answer 11 · 2018-11-03 18:42:51

62

Views

Proving $\displaystyle \lim_{(x,y) \to (0,0)} xy = 0$

Published on 03 Nov 2018 - 18:42

score 39 · Answer 12 · 2018-11-04 17:29:03

39

Views

How does this property differ from the actual $\varepsilon - \delta$ definition of continuity?

Published on 04 Nov 2018 - 17:29

score 36 · Answer 13 · 2018-11-04 20:40:33

36

Views

Rigour behind showing that $f(x) = c$ where $c$ is a constant

Published on 04 Nov 2018 - 20:40

score 29 · Answer 14 · 2018-11-05 08:28:28

29

Views

Proving supremum through continuity/limit arguments

Published on 05 Nov 2018 - 8:28

score 684 · Answer 15 · 2018-11-05 19:35:38

684

Views

How do I complete this $\epsilon - N$ proof that $\lim_{n\to \infty}\frac {2n-1}{3n+2}=\frac {2}{3}$?

Published on 05 Nov 2018 - 19:35

List Question

how to prove that if given $\lim_{x\to a}f(x)=L$ then $\lim_{x\to a}\frac{1}{f(x)}=\frac{1}{L}$

The derivative of $x^\frac{1}{3}$

How to find the delta for the following problem?

Why is the Continuity of the Constant, Linear and Identity Functions not Proved with the Definition of Continuity

What is the most accurate method to find a delta dependent on epsilon in this Real Analysis problem?

Proof for $\lim_{x\to -\infty} \frac{1}{x} = 0$

$\epsilon-\delta$ proof for $ \lim _ {x \rightarrow 9}\frac{x-9}{\sqrt{x}-3}=6. $

Why $f(a_n)\to f(a)$ can imply continuity?

Is this epsilon delta argument that $\lim_{n \to\infty} (0.3)^{\frac{1}{n}} = 1$ valid?

Need help with some tricky $\epsilon, \delta$ proofs

Proving $\displaystyle \lim_{(x,y) \to (0,0)} xy = 0$

How does this property differ from the actual $\varepsilon - \delta$ definition of continuity?

Rigour behind showing that $f(x) = c$ where $c$ is a constant

Proving supremum through continuity/limit arguments

How do I complete this $\epsilon - N$ proof that $\lim_{n\to \infty}\frac {2n-1}{3n+2}=\frac {2}{3}$?

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