List questions from solution-verification

Published on 14 Apr 2026 - 17:01

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How to end showing that a statement is true by using induction?

Published on 12 Apr 2026 - 3:32

96

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Proving $A - B \subset A - (B - A)$

Published on 13 Apr 2026 - 20:11

59

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Infinite dimensional vector space subspace

Published on 15 Apr 2026 - 20:20

761

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Show that every adherent point of $X$ is either a limit point or an isolated point of $X$, but cannot be both.

Published on 15 Apr 2026 - 19:25

1.2k

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If $f$ and $g$ are both continuous, then the functions $\max\{f,g\}$ and $\min\{f,g\}$ are also continuous

Published on 15 Apr 2026 - 19:44

60

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Show that if $\lim\limits_{x\to+\infty}f(x)$ exists and if $f(x_n)\to\eta$...

Published on 16 Apr 2026 - 8:07

155

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Solution verification: show that $s= \sup A$

Published on 11 Apr 2026 - 22:50

48

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Where did my solution fail?

Published on 13 Apr 2026 - 7:27

41

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Prove that $\prod_{i=1}^n a_i^{\lambda_i}\le \sum_{i=1}^n\lambda_i a_i.$

Published on 14 Apr 2026 - 1:25

360

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proof that $\lim \sup (a_n · b_n) = \lim \sup a_n · \lim \sup b_n $

Published on 17 Apr 2026 - 5:21

142

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Sum and integral. Swap?

Published on 10 Apr 2026 - 1:16

599

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Proof verification: find all positive integers $a$ and $b$ such that $a^b=b^a$.

Published on 13 Apr 2026 - 18:09

217

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Show that a cyclic group of order $n$ has $n-1$ generators iff $n$ is prime.

Published on 15 Apr 2026 - 0:24

159

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Proving $(A \cap B) \cup (A - B) = A$

Published on 14 Apr 2026 - 19:47

List Question

Show this map is a permutation

How to end showing that a statement is true by using induction?

Proving $A - B \subset A - (B - A)$

Infinite dimensional vector space subspace

Show that every adherent point of $X$ is either a limit point or an isolated point of $X$, but cannot be both.

If $f$ and $g$ are both continuous, then the functions $\max\{f,g\}$ and $\min\{f,g\}$ are also continuous

Show that if $\lim\limits_{x\to+\infty}f(x)$ exists and if $f(x_n)\to\eta$...

Solution verification: show that $s= \sup A$

Where did my solution fail?

Prove that $\prod_{i=1}^n a_i^{\lambda_i}\le \sum_{i=1}^n\lambda_i a_i.$

proof that $\lim \sup (a_n · b_n) = \lim \sup a_n · \lim \sup b_n $

Sum and integral. Swap?

Proof verification: find all positive integers $a$ and $b$ such that $a^b=b^a$.

Show that a cyclic group of order $n$ has $n-1$ generators iff $n$ is prime.

Proving $(A \cap B) \cup (A - B) = A$

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