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seen Jan 24 at 5:39

A shy, neither amateur nor high-class, mathematician from Colombia.


Jan
24
comment uniform continuity and equivalent sequences
Your definition of equivalent sequences $(a_n)_{n\geq1}$ and $(b_n)_{n\geq1}$ simply says that the difference $a_n-b_n$ tends to $0$ (no matter whether or not each single sequence converges).
Jan
11
answered If $f(x) $ be a polynomial function satisfying $f(x).f(\frac{1}{x})=f(x) +f(\frac{1}{x})$ and $f(4) =65$ then find $f(6)$
Jan
9
comment Functions satisfying $f:\mathbb{N}\rightarrow\ \mathbb{N}$ and $f(f(n))+f(n+1)=n+2$
Problem 11651 of the American Mathematical Monthly is closely related to your problem (see the solution here). Also, see this paper.
Jan
9
reviewed Approve Given $a_n \to 0$, weakest condition on $b_n$ such that $a_n b_n \to 0$
Jan
8
answered $\lim_{x\to +\infty}\frac{x^x}{(\lfloor x \rfloor)^{\lfloor x \rfloor }}$
Jan
7
answered Does this function have closed form?
Jan
6
revised “Novel” proofs of “old” calculus theorems
added 1 character in body
Jan
5
reviewed Edit Probability of starting to drink
Jan
5
revised Probability of starting to drink
Improved formatting
Jan
5
reviewed Approve How to stop forgetting proofs - for a first course in Real Analysis?
Dec
23
awarded  Necromancer
Dec
23
reviewed Approve Distance between a circle and a line segment
Dec
21
awarded  Constituent
Dec
16
reviewed Approve Basis of a vector space is a maximal linearly-independent set?
Dec
12
awarded  Yearling
Dec
9
awarded  Caucus
Nov
28
reviewed Approve computing an indeterminate form of a limit
Nov
27
comment A Challenge on linear functional and bounding property
Recall that in this case "bounded" means "continuous".
Nov
24
revised Banach spaces with a bounded linear functional constant on some normalized Hamel basis
Improved question title
Nov
17
reviewed Approve Finite number of critical points on a sphere of a polynomial?