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Proving a Function Goes to Infinity As x Approaches Negative Infinity With Formal Definition

score 779 · Answer 1 · 2026-04-09 02:11:36

779

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Proving a Function Goes to Infinity As x Approaches Negative Infinity With Formal Definition

Published on 09 Apr 2026 - 2:11

score 188 · Answer 2 · 2026-04-16 07:19:06

188

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How to verify that $\frac{68}{25}$ is an upper bound for the set $A=\{(1+\frac{1}{n})^n|n\in\Bbb N^*\}$

Published on 16 Apr 2026 - 7:19

score 55 · Answer 3 · 2026-04-16 20:11:13

55

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To find $\text{Res}\left(\sin\left(\frac{z}{z-1}\right),1\right)$

Published on 16 Apr 2026 - 20:11

score 60 · Answer 4 · 2026-04-11 00:30:16

60

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Showing that $F$ is a uniformly continuous real-valued function on $C(S)$

Published on 11 Apr 2026 - 0:30

score 57 · Answer 5 · 2026-04-15 10:23:55

57

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Is this statement correct $\forall x>0 \space \exists M \in \mathbb{N}\space \forall \space m \ge M:\frac{1}{m^2} <x$?

Published on 15 Apr 2026 - 10:23

score 118 · Answer 6 · 2026-04-13 20:09:40

118

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Prove that the product of a continuous vector valued function and a continuous scalar function is continuous.

Published on 13 Apr 2026 - 20:09

score 143 · Answer 7 · 2026-04-16 12:53:32

143

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Other ways to show $y_n = \prod_{k=1}^n \left(1+{1\over x_k}\right)$ is bounded, where $x_n$ is another sequence with given properties.

Published on 16 Apr 2026 - 12:53

score 55 · Answer 8 · 2026-04-14 10:40:54

55

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If $|f(x)|$ is a measurable function defined on a measurable set $E\subset \mathbb{R}^d$, is $f(x)$ also measurable?

Published on 14 Apr 2026 - 10:40

score 49 · Answer 9 · 2026-04-16 07:25:59

49

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proof verification for $A_n\uparrow A \implies A-A_n\downarrow \emptyset$

Published on 16 Apr 2026 - 7:25

score 160 · Answer 10 · 2026-04-16 22:52:55

160

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Find $\lim_{n\rightarrow \infty}\int_0^1 f_n(x) dx$

Published on 16 Apr 2026 - 22:52

score 43 · Answer 11 · 2026-04-13 23:09:24

43

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The collection of anti-ideals of a ring forms a matroid?

Published on 13 Apr 2026 - 23:09

score 30 · Answer 12 · 2026-04-11 08:38:47

30

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Is the following fact about digital sums true?

Published on 11 Apr 2026 - 8:38

score 4k · Answer 13 · 2026-04-16 10:18:39

4k

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$(x,y)\subset \mathbb Q[x,y]$ is not a principal ideal

Published on 16 Apr 2026 - 10:18

score 575 · Answer 14 · 2026-04-09 19:18:00

575

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For every natural number $m$, $2^{2m}-1$ is divisible by $3$

Published on 09 Apr 2026 - 19:18

score 52 · Answer 15 · 2026-04-09 09:17:11

52

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Proof Rules in Set Theory

Published on 09 Apr 2026 - 9:17

List Question

Proving a Function Goes to Infinity As x Approaches Negative Infinity With Formal Definition

How to verify that $\frac{68}{25}$ is an upper bound for the set $A=\{(1+\frac{1}{n})^n|n\in\Bbb N^*\}$

To find $\text{Res}\left(\sin\left(\frac{z}{z-1}\right),1\right)$

Showing that $F$ is a uniformly continuous real-valued function on $C(S)$

Is this statement correct $\forall x>0 \space \exists M \in \mathbb{N}\space \forall \space m \ge M:\frac{1}{m^2} <x$?

Prove that the product of a continuous vector valued function and a continuous scalar function is continuous.

Other ways to show $y_n = \prod_{k=1}^n \left(1+{1\over x_k}\right)$ is bounded, where $x_n$ is another sequence with given properties.

If $|f(x)|$ is a measurable function defined on a measurable set $E\subset \mathbb{R}^d$, is $f(x)$ also measurable?

proof verification for $A_n\uparrow A \implies A-A_n\downarrow \emptyset$

Find $\lim_{n\rightarrow \infty}\int_0^1 f_n(x) dx$

The collection of anti-ideals of a ring forms a matroid?

Is the following fact about digital sums true?

$(x,y)\subset \mathbb Q[x,y]$ is not a principal ideal

For every natural number $m$, $2^{2m}-1$ is divisible by $3$

Proof Rules in Set Theory

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