Question

My proof ɛ-δ Definition of a limit only disproves the limit... What have I done wrong?

score 216 · Answer 1 · 2015-09-04 17:00:43

216

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My proof ɛ-δ Definition of a limit only disproves the limit... What have I done wrong?

Published on 04 Sep 2015 - 17:00

score 100 · Answer 2 · 2015-09-05 22:50:34

100

Views

math proofs: use the definition of the limit of a sequence

Published on 05 Sep 2015 - 22:50

score 132 · Answer 3 · 2015-09-06 07:43:29

132

Views

Question regarding epsilon delta proofs

Published on 06 Sep 2015 - 7:43

score 587 · Answer 4 · 2015-09-06 15:30:56

587

Views

To disprove a limit by $\epsilon-\delta$ criterion, how should we find an $\epsilon$ so that we arrive at contradiction?

Published on 06 Sep 2015 - 15:30

score 1.5k · Answer 5 · 2015-09-09 04:43:06

1.5k

Views

Show that the piecewise defined function is continuous at $x=0$

Published on 09 Sep 2015 - 4:43

score 102 · Answer 6 · 2015-09-11 00:18:17

102

Views

Let $y$ be real, $n$ is natural, and $\varepsilon>0$. For some $\delta>0$, if $u$ is real and $|u-y|<\delta$, then $|u^{n}-y^{n}|<\varepsilon$

Published on 11 Sep 2015 - 0:18

score 1.9k · Answer 7 · 2015-09-12 23:25:45

1.9k

Views

Is the $\epsilon-\delta$ definition of a limit useful for either calculating or proving limits?

Published on 12 Sep 2015 - 23:25

score 99 · Answer 8 · 2026-04-02 10:52:44

99

Views

Is the precise definition of a limit worth covering in Calc 1?

Published on 02 Apr 2026 - 10:52

score 106 · Answer 9 · 2015-09-14 00:40:04

106

Views

What is going on in this example? (Ch.5 on limits, from Spivak's Calculus)

Published on 14 Sep 2015 - 0:40

score 19 · Answer 10 · 2026-04-01 00:56:38

19

Views

Can we construct a nonzero function $f(x)$ near (but not at a point) such that the integral evaluates to $1$?

Published on 01 Apr 2026 - 0:56

score 909 · Answer 11 · 2015-09-19 09:58:08

909

Views

If $\lim a_n/n=a>0$ then $\lim a_n=\infty$

Published on 19 Sep 2015 - 9:58

score 253 · Answer 12 · 2015-09-19 20:45:22

253

Views

How to find delta from a given epsilon in multiple dimensions

Published on 19 Sep 2015 - 20:45

score 136 · Answer 13 · 2015-09-20 06:55:20

136

Views

Proving that if $\lim_{n \rightarrow \infty} a_n = a$ then $\lim_{n \rightarrow \infty} a_n^2 = a^2$

Published on 20 Sep 2015 - 6:55

score 149 · Answer 14 · 2015-09-21 17:33:45

149

Views

I have a mathproblem :)

Published on 21 Sep 2015 - 17:33

score 577 · Answer 15 · 2015-09-22 15:48:32

577

Views

Showing set of all cluster points of sequence in extended $\mathbb R $ is closed.

Published on 22 Sep 2015 - 15:48

List Question

My proof ɛ-δ Definition of a limit only disproves the limit... What have I done wrong?

math proofs: use the definition of the limit of a sequence

Question regarding epsilon delta proofs

To disprove a limit by $\epsilon-\delta$ criterion, how should we find an $\epsilon$ so that we arrive at contradiction?

Show that the piecewise defined function is continuous at $x=0$

Let $y$ be real, $n$ is natural, and $\varepsilon>0$. For some $\delta>0$, if $u$ is real and $|u-y|<\delta$, then $|u^{n}-y^{n}|<\varepsilon$

Is the $\epsilon-\delta$ definition of a limit useful for either calculating or proving limits?

Is the precise definition of a limit worth covering in Calc 1?

What is going on in this example? (Ch.5 on limits, from Spivak's Calculus)

Can we construct a nonzero function $f(x)$ near (but not at a point) such that the integral evaluates to $1$?

If $\lim a_n/n=a>0$ then $\lim a_n=\infty$

How to find delta from a given epsilon in multiple dimensions

Proving that if $\lim_{n \rightarrow \infty} a_n = a$ then $\lim_{n \rightarrow \infty} a_n^2 = a^2$

I have a mathproblem :)

Showing set of all cluster points of sequence in extended $\mathbb R $ is closed.

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