List questions from fake-proofs

Published on 20 Sep 2023 - 4:49

119

Views

Is this proof of Darboux's Theorem valid?

Published on 20 Sep 2023 - 5:18

62

Views

Show Tree Proof is Incorrect

Published on 20 Sep 2023 - 17:18

354

Views

Find the values of $p$ and $q$ such that $\lim_{x\to 0}\frac{x(1-p\cos x)+q\sin x}{x^3}=\frac 13.$ Assume, that L' Hospital's rule is applicable.

Published on 24 Sep 2023 - 15:19

91

Views

(Fake proof) Counterclockwise contour integral of identity function around unit circle is $-2\pi i$

Published on 26 Sep 2023 - 12:31

163

Views

Flaw in proof about an exact quadrature method

Published on 25 Mar 2026 - 9:36

106

Views

What's wrong with my simplification of these exponentials?

Published on 28 Sep 2023 - 9:39

273

Views

Is this proof circular or is it valid?

Published on 29 Sep 2023 - 11:03

508

Views

Let $S =\{u_1, u_2,...,u_n\}$ be a finite set of vectors. Prove that $S$ is linearly dependent iff $u_1 = 0$ or $u_{k+1} ∈ span(\{u_1, u_2,...,u_k\})$

Published on 08 Oct 2023 - 14:32

75

Views

What's wrong with the following limit evaluation?

Published on 10 Oct 2023 - 13:56

51

Views

Not getting where is the mistake in the solution of a problem in Linear Algebra.

Published on 12 Oct 2023 - 7:35

96

Views

False proof that $\tfrac{0}{0} = 2.5$

Published on 14 Oct 2023 - 18:55

186

Views

Let $f :\mathbb R \rightarrow\mathbb R$ be continuous function . Then prove that $(0,1)$ cannot be the image of $(0,1]$?

Published on 17 Oct 2023 - 5:38

123

Views

square root of x equals -1

Published on 25 Mar 2026 - 6:01

76

Views

Where is the error in this proof using induction?

Published on 20 Oct 2023 - 22:48

List Question

Rudin's proof about closed subsets of compact sets

Is this proof of Darboux's Theorem valid?

Show Tree Proof is Incorrect

Find the values of $p$ and $q$ such that $\lim_{x\to 0}\frac{x(1-p\cos x)+q\sin x}{x^3}=\frac 13.$ Assume, that L' Hospital's rule is applicable.

(Fake proof) Counterclockwise contour integral of identity function around unit circle is $-2\pi i$

Flaw in proof about an exact quadrature method

What's wrong with my simplification of these exponentials?

Is this proof circular or is it valid?

Let $S =\{u_1, u_2,...,u_n\}$ be a finite set of vectors. Prove that $S$ is linearly dependent iff $u_1 = 0$ or $u_{k+1} ∈ span(\{u_1, u_2,...,u_k\})$

What's wrong with the following limit evaluation?

Not getting where is the mistake in the solution of a problem in Linear Algebra.

False proof that $\tfrac{0}{0} = 2.5$

Let $f :\mathbb R \rightarrow\mathbb R$ be continuous function . Then prove that $(0,1)$ cannot be the image of $(0,1]$?

square root of x equals -1

Where is the error in this proof using induction?

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