List questions from proof-explanation

79

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Let $\{x_n\}_{n=1}^\infty$ be a convergent sequence in R with limit x. Show that $\lim_{n\to\infty} 1/n \sum_{k=1}^{n} x_k = x$

Published on 27 Mar 2026 - 13:20

137

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Show that $A \setminus (A \cap B) = (A \cup B) \setminus B$

Published on 01 Oct 2019 - 17:04

189

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Real Analysis -Is ℚ ∩ [0,1) sequentially compact?

Published on 11 Apr 2026 - 11:56

363

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A comment on $\int_{0}^{\pi} \frac{d\theta}{2 - \cos \theta}$

Published on 02 Oct 2019 - 2:39

373

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A Lemma of Kaplansky

Published on 12 Apr 2026 - 12:25

121

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Multivariable calculus - explain what the teacher did

Published on 03 Apr 2026 - 21:21

272

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Local Cohomology - Theorem 3.5.8 in Bruns and Herzog, Cohen-Macaulay Rings

Published on 25 Mar 2026 - 6:13

133

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Prove $|x|-|y| \le |x+y|$

Published on 27 Mar 2026 - 20:31

218

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What is the easiest way to prove by induction?

Published on 11 Apr 2026 - 16:06

922

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There are infinitely many monomial orders

Published on 12 Apr 2026 - 6:32

183

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Help in this proof in Lang's Algebra book

Published on 25 Mar 2014 - 16:52

186

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Help in the proof of Horrocks theorem

Published on 11 Apr 2026 - 1:42

258

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I need help in this proof in Lang's algebra book

Published on 27 Mar 2014 - 14:47

149

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Simple proof explanation - Possibly triangle inequality involved

Published on 09 Apr 2026 - 4:48

186

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Question about the proof of a limit

Published on 10 Apr 2026 - 2:57

List Question

Let $\{x_n\}_{n=1}^\infty$ be a convergent sequence in R with limit x. Show that $\lim_{n\to\infty} 1/n \sum_{k=1}^{n} x_k = x$

Show that $A \setminus (A \cap B) = (A \cup B) \setminus B$

Real Analysis -Is ℚ ∩ [0,1) sequentially compact?

A comment on $\int_{0}^{\pi} \frac{d\theta}{2 - \cos \theta}$

A Lemma of Kaplansky

Multivariable calculus - explain what the teacher did

Local Cohomology - Theorem 3.5.8 in Bruns and Herzog, Cohen-Macaulay Rings

Prove $|x|-|y| \le |x+y|$

What is the easiest way to prove by induction?

There are infinitely many monomial orders

Help in this proof in Lang's Algebra book

Help in the proof of Horrocks theorem

I need help in this proof in Lang's algebra book

Simple proof explanation - Possibly triangle inequality involved

Question about the proof of a limit

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