AlvinL's user avatar
AlvinL's user avatar
AlvinL's user avatar
AlvinL
  • Member for 8 years, 10 months
  • Last seen this week
  • Tartu, Estonia
33 votes

Is there much benefit in memorising proofs outside of an exam setting?

15 votes

Prove: If a sequence converges, then every subsequence converges to the same limit.

6 votes
Accepted

Is $∅$ proper subset of $\{\{∅\}\}$?

5 votes

Is a product of two modulus functions the modulus of the product of the functions?

5 votes

If $a>0$ prove that $\lim a^{1/n} =1$

5 votes

Negation of "If ... then" statements

5 votes

What is the intuition behind product topology?

5 votes
Accepted

calculate the infinite integral $ \int_{0}^{\infty}e^{x}\cos(x)dx $

5 votes
Accepted

Please explain how to solve limit. I know the answer but how to explain it?

5 votes
Accepted

Why do singular matrices have no inverse?

4 votes
Accepted

Theorem 15, Section 3.5 of Hoffman’s Linear Algebra

4 votes
Accepted

Proof from field axioms that $(-a)a=-a^2$

4 votes
Accepted

Where is the flaw in my approach? : AMC12A 2010 Problem 20

4 votes

How to show that $\displaystyle\lim_{x\rightarrow0}\dfrac{a^{2x}-2}{x^x}=-1$

4 votes
Accepted

How to prove that partial derivatives exist at (0,0)

4 votes

Prove that for $a\neq0$, $\displaystyle{\lim_{x \to \infty}}\left (1+\frac{a}{x}\right)^x=e^a$.

4 votes

Whether the power series $z^{2^{n}}$ converges at the boundary?

4 votes
Accepted

Matrix in vector notation?

4 votes

Domain of $(x+1)^x$

4 votes

Is $(2n)!$ the same as $2(n!)$?

3 votes
Accepted

$2^{\sin(x) + \cos(y)} = 1$ , $16^{\sin^2(x) + \cos^2(y)} = 4$ (system of equations)

3 votes
Accepted

How can I calculate this integral considering the point where denominator is zero?

3 votes

A circle is divided into $5$ parts as shown in the diagram and parts are colored either red or green. Find which area is bigger.

3 votes

$X^\emptyset$ versus $\emptyset^X$

3 votes
Accepted

Proving that $C=\{A \cup N : A \in \mathcal{A}, N \in \mathcal{N}\}$ is a $\sigma$-algebra

3 votes

"Prove that $\sup\{\sqrt2,\sqrt{2+\sqrt2},\cdots\}=2$": How to show that the set is bounded above?

3 votes

Smart Integration Tricks

3 votes
Accepted

If $G$ is a group and $a,b\in G$ and $e$ neutral element why $ab = aeb$?

3 votes
Accepted

Indeterminate forms

3 votes

How to Solve $\frac{(x^2+1)}{x} + \frac{x}{(x^2+1)} = 2.9$?

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