Question

Prove limit by definition: $\lim_{n \to \infty}\frac{2n^2-3n+1}{3n+5} = \infty$

score 727 · Answer 1 · 2026-03-25 03:02:55

727

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Prove limit by definition: $\lim_{n \to \infty}\frac{2n^2-3n+1}{3n+5} = \infty$

Published on 25 Mar 2026 - 3:02

score 85 · Answer 2 · 2018-04-02 16:09:17

85

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Collinear property of three points $A,J,P$ in $\Delta{ABC}$, $AJ$ goes through the midpoint of $BC$.

Published on 02 Apr 2018 - 16:09

score 81 · Answer 3 · 2026-03-26 12:33:33

81

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Prove the following inequality by Induction

Published on 26 Mar 2026 - 12:33

score 42 · Answer 4 · 2026-03-26 03:13:32

42

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Prove that $|R_n|\leq{n}B|a_n||x|$ where $B=\max\limits_{t\in[0,x]}\left|\frac{(x-t)^{n-1}}{1+t}\right|(1+t)^{-1/2}$

Published on 26 Mar 2026 - 3:13

score 63 · Answer 5 · 2026-04-09 00:05:17

63

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For two unit non-oriented bivectors $A,B\in \mathbb{R}P^2\subset \Lambda^2\mathbb{R}^3$ is the mapping $\phi:(A,B)\rightarrow AB$ bijective?

Published on 09 Apr 2026 - 0:05

score 46 · Answer 6 · 2026-04-02 03:20:55

46

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Prove $|1+t|^{-\frac{1}{2}}\le1$

Published on 02 Apr 2026 - 3:20

score 229 · Answer 7 · 2026-04-09 04:08:37

229

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Variation on Lipschitz continuity condition

Published on 09 Apr 2026 - 4:08

score 165 · Answer 8 · 2026-03-30 12:21:17

165

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Proof- Disjointed open sets in $\mathbb{R}$ are separated.

Published on 30 Mar 2026 - 12:21

score 87 · Answer 9 · 2026-04-10 14:19:09

87

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Filling in proof in UC Davis notes

Published on 10 Apr 2026 - 14:19

score 384 · Answer 10 · 2026-04-11 17:55:56

384

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Self studying topology: Velleman before Mendelson?

Published on 11 Apr 2026 - 17:55

score 74 · Answer 11 · 2026-04-10 04:29:06

74

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RSA explanation

Published on 10 Apr 2026 - 4:29

score 135 · Answer 12 · 2026-03-30 13:57:35

135

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Proving a positive continuous function on $\mathbb{R}$ with $\lim\limits_{x\rightarrow\pm\infty}f(x) = 0$ has a maximum, with somewhat of a twist

Published on 30 Mar 2026 - 13:57

score 42 · Answer 13 · 2026-04-12 07:24:24

42

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Help with proof in Linear Algebra (rank, dual base, beginner level)

Published on 12 Apr 2026 - 7:24

score 82 · Answer 14 · 2026-04-06 23:12:16

82

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sum of piece wise is piece wise

Published on 06 Apr 2026 - 23:12

score 1.5k · Answer 15 · 2026-04-09 12:02:05

1.5k

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Image of a basis forms a basis, if and only if matrix is invertible

Published on 09 Apr 2026 - 12:02

List Question

Prove limit by definition: $\lim_{n \to \infty}\frac{2n^2-3n+1}{3n+5} = \infty$

Collinear property of three points $A,J,P$ in $\Delta{ABC}$, $AJ$ goes through the midpoint of $BC$.

Prove the following inequality by Induction

Prove that $|R_n|\leq{n}B|a_n||x|$ where $B=\max\limits_{t\in[0,x]}\left|\frac{(x-t)^{n-1}}{1+t}\right|(1+t)^{-1/2}$

For two unit non-oriented bivectors $A,B\in \mathbb{R}P^2\subset \Lambda^2\mathbb{R}^3$ is the mapping $\phi:(A,B)\rightarrow AB$ bijective?

Prove $|1+t|^{-\frac{1}{2}}\le1$

Variation on Lipschitz continuity condition

Proof- Disjointed open sets in $\mathbb{R}$ are separated.

Filling in proof in UC Davis notes

Self studying topology: Velleman before Mendelson?

RSA explanation

Proving a positive continuous function on $\mathbb{R}$ with $\lim\limits_{x\rightarrow\pm\infty}f(x) = 0$ has a maximum, with somewhat of a twist

Help with proof in Linear Algebra (rank, dual base, beginner level)

sum of piece wise is piece wise

Image of a basis forms a basis, if and only if matrix is invertible

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