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Don't have much time these days...


1h
comment Closed form for n-th anti-derivative of $\log x$
There is a typo, you are missing a $\frac{1}{s}$ in $\ln x = \lim\dots$. Don't you need some justification for taking the limit inside though?
May
19
comment How to find area of triangle from its medians
Thanks! I see it now :-) +1.
May
19
comment How to find area of triangle from its medians
What right triangle? Can you please elaborate?
May
19
comment Closed form for n-th anti-derivative of $\log x$
You can add an arbitrary $(n-1)^{\text{th}}$ degree polynomial...
May
19
comment Closed form for n-th anti-derivative of $\log x$
@Argon: Even though I cast a close vote, I now believe it is slightly different, as the $H_n$ term becomes important for $\log x$, but not for $\frac{1}{x}$.
May
19
comment How to find area of triangle from its medians
You can also use Appolonius theorem.
May
18
comment Using the hypothesis $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ to prove something else
@cruise: I say it is pointless because there is essentially no non-trivial mathematical content there. Anyway, you are entitled to your opinion, as I am mine (and so do the other downvoters/upvoters). I only commented because you seemed interested to know why you got downvotes. I tried to give you the reason why I gave a downvote. Let's leave it at that. It is clear that there won't be an agreement. (btw, you seem to conveniently choose to ignore the 5 downvotes and talk about the solitary upvote you got :-)).
May
18
comment Using the hypothesis $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ to prove something else
@cruise: I gathered that for the previous comments. But really, the interpretation you chose is quite pointless.
May
17
comment Using the hypothesis $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ to prove something else
-1: The interpretation in this answer is nonsensical. Sorry.
May
9
comment How to find the limit of these sequences?
Oops, cast dupe close vote too quickly. Too many questions in one. The last one is not answered there.
May
9
comment How to find the limit of these sequences?
possible duplicate of Limit of the sequence $nx_{n}$ where $x_{n+1} = \log (1 +x_{n})$
May
9
comment Binomial Expansion problem error
If all you need is verification of correctness, Wolfram Alpha (link computes series $(1+2x)^{1/4})$ is a good resource.
May
9
comment a system of equation
Since we didn't use any inequalities, you can allow the variables to be complex too.
May
9
comment Functional Equation help
Related: math.stackexchange.com/questions/337208/…
May
9
comment Iterated function applied on $n/ \log_2 n$
Don't know. Seems difficult. LambertW making an appearance.
May
8
comment Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
This has got to be a dupe.
May
8
comment Proof the sum of the square of the in and out degree are the same
btw, the more standard name for a complete directed graph is a tournament graph.
May
7
comment Iterated function applied on $n/ \log_2 n$
Is the $\log$ to base $2$?
May
7
comment Proving a trig infinite sum using integration
@julien: I think we agree :-)
May
7
comment Proving a trig infinite sum using integration
@julien: Yeah, but Abel's test does indeed prove it (as you mentioned earlier). So there is probably no circularity. I was only trying to clarify.