Jakobian's user avatar
Jakobian's user avatar
Jakobian's user avatar
Jakobian
  • Member for 6 years, 6 months
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  • Bernstein set
20 votes
Accepted

Does $\sum _{n=1}^{\infty }\frac{\left|\sin\left(n\right)\right|}{n}$ converge?

17 votes
Accepted

Example of a point that is not the limit of any sequence in a connected topological space

13 votes
Accepted

Zero distance between a closed set and a bounded closed set which are disjoint in a metric space

11 votes

Why isn't $\int\limits_0^{\pi/2}\tan(2x)\ dx$ equal to zero?

10 votes

Prove that $\sin(1 + k^3) \not \to 0$

9 votes

$2021^{\text{st}}$ term of a Sequence

9 votes

Conditional expectation of a bivariate normal distribution

9 votes

An integral which could be split into even and odd functions

7 votes
Accepted

Can an open and closed function be neither injective or surjective.

7 votes

Cool way of finding $\cos\left(\frac{\pi}{5}\right)$

7 votes

integrating $\int \frac{1}{e^x +1}\:dx$

6 votes

Conditional Expectation of Continuous Random Variable

6 votes

Evaluate limit $\lim_{x\rightarrow 0}\frac{\int_{0}^{x^{4}}e^{\sqrt t }\cdot\sin t \ dt}{x^{8}}$

6 votes
Accepted

A problem with the existence of limits of $\sin(P(n)\pi)$ and $\cos(P(n)\pi)$

6 votes
Accepted

Prove that every compact manifold is homeomorphic to a subset of some Euclidean space.

6 votes
Accepted

Characteristic functions inequality

6 votes

When is isometry space of compact metric space a manifold?

5 votes

Weakly Lindelöf metrizable spaces are separable

5 votes
Accepted

Is one condition of Banakh spaces redundant?

5 votes
Accepted

(Path) connected components of zero-sets of limiting functions.

5 votes

Does finite extent $e(X)$ of a space $X$ imply that the space is compact?

5 votes
Accepted

Does a non-metrizable $T_2$ space always have an open cover such that three distinct given points cannot be covered by any two elements of the cover?

5 votes
Accepted

Constructing continuous functions with prescribed preimage

5 votes
Accepted

Question about $L^{1}$ and $L^\infty$ spaces

5 votes

Proving that $\sum_{m=1}^\infty \frac{m!}{2^m+m^m}$ converges

5 votes

Find the following limit: $ \lim_{n \to \infty} \frac{1}{n} \int_0^\infty e^{-x/n}f(x) \, dx. $

5 votes
Accepted

Solve $x+\log(x-1)\cdot (1-x) = 0$

5 votes

What is the $GCD(2^{32}-2^{24}+2^{16}-2^8+1, 2^8+1)$?

4 votes
Accepted

$\sum_{N=6}^{\infty}\frac{6}{N}\binom{N-1}{5}p^6(1-p)^{N-6}$

4 votes

Convergence of Ratio Test implies Convergence of the Root Test

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