3,520 reputation
315
bio website seaneberhard.blogspot.co.uk
location
age
visits member for 2 years, 2 months
seen 8 hours ago

He's just this guy, you know.


Mar
24
comment Proof of $\lim_{n \to \infty} {a_n}^{1/n} = \lim_{n \to \infty}(a_{n+1}/a_n)$
@WimC Thanks. I corrected it now: I meant take any $\alpha>1$.
Mar
24
revised Proof of $\lim_{n \to \infty} {a_n}^{1/n} = \lim_{n \to \infty}(a_{n+1}/a_n)$
edited body
Mar
24
answered Proof of $\lim_{n \to \infty} {a_n}^{1/n} = \lim_{n \to \infty}(a_{n+1}/a_n)$
Mar
3
comment Question over regular induction: Let $P(n)$ be the statement that $n$-cent postage can be formed using just 4-cent and 7-cent stamps
Prove strong induction using regular induction and then use strong induction.
Feb
7
revised Convergence of the sequence $\frac{1}{n\sin(n)}$
added 869 characters in body
Feb
7
comment Convergence of the sequence $\frac{1}{n\sin(n)}$
The statement about random $x$ was only intended to inform any conjecture about $\pi$, which often behaves as though it were random.
Feb
6
comment Convergence of the sequence $\frac{1}{n\sin(n)}$
It seems likely that the upper limit is infinite (even if the irrationality measure of $\pi$ is $2$, which it probably is). One can show that if $x$ is random then the upper limit of $1/|n\sin(x\pi n)|$ is almost surely infinity.
Feb
6
answered Convergence of the sequence $\frac{1}{n\sin(n)}$
Jan
27
awarded  Yearling
Jan
7
reviewed Approve suggested edit on What is a supremum?
Jan
6
reviewed Approve suggested edit on If the leading coefficient of a polynomial is $x^{3}$, does it mean that the graph would always intersect the $x$ axis at $3$ points?
Dec
6
revised Lower central series of a free group
edited body
Dec
1
comment Defintion of $\ell^\infty$
See en.wikipedia.org/wiki/Sequence_space.
Nov
6
comment Taylor's theorem: $f'' + f = 0, f(0) = f'(0) = 0$.
As far as doing it without Taylor's theorem, multiply by $f'$ and integrate, getting $f^2 + f'^2 = \text{const}$. The initial condition implies that the constant is $0$. But since squares are nonnegative, we must have $f\equiv 0$.
Oct
8
answered Every compact subspace of a Hausdorff space is closed
Oct
5
comment Let $f,g$ be two distinct functions from $[0,1]$ to $(0, +\infty)$ such that $\int_{0}^{1} g = \int_{0}^{1} f $.
Yes thanks, just saw that.
Oct
4
revised for what integer $m,n,d$: $\sum_{k=1}^r k^n= \left(\sum_{k=1}^r k^d\right)^m$?
added 227 characters in body
Oct
4
answered for what integer $m,n,d$: $\sum_{k=1}^r k^n= \left(\sum_{k=1}^r k^d\right)^m$?
Oct
4
revised Maps with every point being periodic
deleted 3 characters in body
Oct
4
revised Maps with every point being periodic
added 414 characters in body