Question

Michael Spivak Calculus Limits problem proof verification

score 218 · Answer 1 · 2020-05-17 06:40:19

218

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Michael Spivak Calculus Limits problem proof verification

Published on 17 May 2020 - 6:40

score 81 · Answer 2 · 2020-05-19 01:48:26

81

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Prove. $\frac{x}{x^2-2} \rightarrow 1$ as $x \rightarrow 2$ from first principles.

Published on 19 May 2020 - 1:48

score 95 · Answer 3 · 2020-05-19 04:29:00

95

Views

Bound difference of complex numbers to bound their log ratio

Published on 19 May 2020 - 4:29

score 154 · Answer 4 · 2020-05-19 07:29:15

154

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Calculus - Michael Spivak, Continuous functions Problem 17-(c)

Published on 19 May 2020 - 7:29

score 64 · Answer 5 · 2020-05-21 03:19:07

64

Views

limit proof with epsilon-delta for ${\lim_{x \to a} \sqrt{x} = \sqrt{a}}$

Published on 21 May 2020 - 3:19

score 37 · Answer 6 · 2020-05-21 09:08:19

37

Views

Convergence of General Sequence

Published on 21 May 2020 - 9:08

score 90 · Answer 7 · 2020-05-21 17:09:34

90

Views

Prove ${\lim_{x \to a} e^{x} = e^{a}}$ with a $\delta-\epsilon$ argument

Published on 21 May 2020 - 17:09

score 898 · Answer 8 · 2020-05-21 17:32:37

898

Views

Prove that $\ f(x)=x^{3}$ is continuous at $\ x = -2$ using the delta-epsilon approach

Published on 21 May 2020 - 17:32

score 915 · Answer 9 · 2020-05-21 18:01:22

915

Views

Prove $\lim_{x \to a} \cos{x} = \cos{a}$ using a $\varepsilon$-$\delta$ argument

Published on 21 May 2020 - 18:01

score 100 · Answer 10 · 2020-05-22 03:27:05

100

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Let $(a_{n})_{n=m}^{\infty}$ be a sequence which converges to a real number $c$. Then $c$ is a limit point of $(a_{n})_{n=m}^{\infty}$

Published on 22 May 2020 - 3:27

score 31 · Answer 11 · 2020-05-24 04:20:55

31

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If $f(x) \rightarrow \infty$ as $x \rightarrow a$, and $g(x) \geq f(x)$ forall x near a. Does $g(x) \rightarrow \infty$ as $x \rightarrow a$

Published on 24 May 2020 - 4:20

score 45 · Answer 12 · 2020-05-25 03:19:00

45

Views

Will $f(x,y)$ be continuous in $D$ (except possibly at the boundary) under these conditions?

Published on 25 May 2020 - 3:19

score 120 · Answer 13 · 2020-05-26 16:49:17

120

Views

Continuity of $f(x)= \frac{1}{3-x}$ at a $x=4$ point using $\varepsilon$-$\delta$

Published on 26 May 2020 - 16:49

score 625 · Answer 14 · 2020-05-27 15:11:26

625

Views

Clarification of probability bound in terms of $(\epsilon, \delta)$

Published on 27 May 2020 - 15:11

score 104 · Answer 15 · 2020-05-29 21:26:46

104

Views

How to show $\int_0^\infty \cos\left(-1+\frac{ix}{\omega}\right)e^{-x}dx $ converges with epsilon-delta proof?

Published on 29 May 2020 - 21:26

List Question

Michael Spivak Calculus Limits problem proof verification

Prove. $\frac{x}{x^2-2} \rightarrow 1$ as $x \rightarrow 2$ from first principles.

Bound difference of complex numbers to bound their log ratio

Calculus - Michael Spivak, Continuous functions Problem 17-(c)

limit proof with epsilon-delta for ${\lim_{x \to a} \sqrt{x} = \sqrt{a}}$

Convergence of General Sequence

Prove ${\lim_{x \to a} e^{x} = e^{a}}$ with a $\delta-\epsilon$ argument

Prove that $\ f(x)=x^{3}$ is continuous at $\ x = -2$ using the delta-epsilon approach

Prove $\lim_{x \to a} \cos{x} = \cos{a}$ using a $\varepsilon$-$\delta$ argument

Let $(a_{n})_{n=m}^{\infty}$ be a sequence which converges to a real number $c$. Then $c$ is a limit point of $(a_{n})_{n=m}^{\infty}$

If $f(x) \rightarrow \infty$ as $x \rightarrow a$, and $g(x) \geq f(x)$ forall x near a. Does $g(x) \rightarrow \infty$ as $x \rightarrow a$

Will $f(x,y)$ be continuous in $D$ (except possibly at the boundary) under these conditions?

Continuity of $f(x)= \frac{1}{3-x}$ at a $x=4$ point using $\varepsilon$-$\delta$

Clarification of probability bound in terms of $(\epsilon, \delta)$

How to show $\int_0^\infty \cos\left(-1+\frac{ix}{\omega}\right)e^{-x}dx $ converges with epsilon-delta proof?

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