Question

Proof Verification: Prove by induction that if $n_1, n_2,\cdots,n_t$ are even integers, then $n_1+n_2+\cdots+n_t$ is even

score 179 · Answer 1 · 2026-03-26 02:47:39

179

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Proof Verification: Prove by induction that if $n_1, n_2,\cdots,n_t$ are even integers, then $n_1+n_2+\cdots+n_t$ is even

Published on 26 Mar 2026 - 2:47

score 132 · Answer 2 · 2018-02-28 04:13:01

132

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Prove there is a subsequence of a sequence that converges to $y$

Published on 28 Feb 2018 - 4:13

score 180 · Answer 3 · 2018-02-28 04:36:54

180

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Show that f is not continuous by epsilon-delta

Published on 28 Feb 2018 - 4:36

score 45 · Answer 4 · 2018-02-28 07:26:06

45

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Determine the image of a function using induction

Published on 28 Feb 2018 - 7:26

score 431 · Answer 5 · 2018-02-28 08:39:40

431

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Prove that there exists an irrational number $\\a$ such that $x< au< y$ if $x< y$ and $u> 0$.

Published on 28 Feb 2018 - 8:39

score 80 · Answer 6 · 2026-03-22 05:30:57

80

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Logical simplification clarification

Published on 22 Mar 2026 - 5:30

score 111 · Answer 7 · 2018-02-28 11:03:01

111

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Topological Basis: Equivlance of Definitions

Published on 28 Feb 2018 - 11:03

score 24 · Answer 8 · 2018-02-28 15:54:37

Difference between "$\forall k\in [m] $ there exists an optimal $O$ S.T. $Gk\subseteq O$" and "$\forall k\in [m] Gk\subseteq O$ where $O$ is optimal"

score 139 · Answer 9 · 2026-03-26 12:33:33

139

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Using summation by parts to evaluate an alternating sum

Published on 26 Mar 2026 - 12:33

score 175 · Answer 10 · 2018-02-28 16:22:41

175

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Conjugacy classes and Centers

Published on 28 Feb 2018 - 16:22

score 132 · Answer 11 · 2026-03-24 23:58:03

132

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Prove $\lim_{x \to a} f(x)g(x) = \lim_{x \to a} f(x) \lim_{x \to a} g(x)$

Published on 24 Mar 2026 - 23:58

score 1.6k · Answer 12 · 2018-02-28 18:13:07

1.6k

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Rudin Principles of Mathematical Analysis: Chapter 4 problem 18.

Published on 28 Feb 2018 - 18:13

score 159 · Answer 13 · 2018-02-28 20:06:21

Closed and bounded set $K$ contains a countably infinite set of points $\{x_k\}$ with the property that $d(x_m,x_n)\geq2\alpha>0$. $K$ is not compact

score 38 · Answer 14 · 2018-02-28 21:08:26

38

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Creating a contradiction using epsilon. Intermediate Value Theorem Proof.

Published on 28 Feb 2018 - 21:08

score 358 · Answer 15 · 2018-02-28 21:15:15

358

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Rudin Principles of Mathematics Analysis: Chapter 4 problem 14

Published on 28 Feb 2018 - 21:15

List Question

Proof Verification: Prove by induction that if $n_1, n_2,\cdots,n_t$ are even integers, then $n_1+n_2+\cdots+n_t$ is even

Prove there is a subsequence of a sequence that converges to $y$

Show that f is not continuous by epsilon-delta

Determine the image of a function using induction

Prove that there exists an irrational number $\\a$ such that $x< au< y$ if $x< y$ and $u> 0$.

Logical simplification clarification

Topological Basis: Equivlance of Definitions

Difference between "$\forall k\in [m] $ there exists an optimal $O$ S.T. $Gk\subseteq O$" and "$\forall k\in [m] Gk\subseteq O$ where $O$ is optimal"

Using summation by parts to evaluate an alternating sum

Conjugacy classes and Centers

Prove $\lim_{x \to a} f(x)g(x) = \lim_{x \to a} f(x) \lim_{x \to a} g(x)$

Rudin Principles of Mathematical Analysis: Chapter 4 problem 18.

Closed and bounded set $K$ contains a countably infinite set of points $\{x_k\}$ with the property that $d(x_m,x_n)\geq2\alpha>0$. $K$ is not compact

Creating a contradiction using epsilon. Intermediate Value Theorem Proof.

Rudin Principles of Mathematics Analysis: Chapter 4 problem 14

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