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22m
comment Reducing the form of $2\sum\limits_{j=0}^{n-2}\sum\limits_{k=1}^n {{k+j}\choose{k}}{{2n-j-k-1}\choose{n-k+1}}$.
Perhaps a link to Vandermonde's identity would be helpful here.
8h
comment How find the poles/residues of $\int_{-\infty}^\infty \frac{x^2 \, dx}{1 + x^4}$
Your user name reminded me of this old song. :-)
11h
comment Infinite integrals$\int_0^{ + \infty } {\frac{1}{{\left( {x + 1} \right)\left( {{x^n} + 1} \right)}}dx} .$
@ClaudeLeibovici: By reaching deep down into the unfathomable abyss of my amazing mathematical intellect. :-)
23h
comment Find a formula for the binomial coefficients of the Macluarin series for $\frac{1}{(1+x)^{1/2}}$
See binomial series.
23h
revised Infinite integrals$\int_0^{ + \infty } {\frac{1}{{\left( {x + 1} \right)\left( {{x^n} + 1} \right)}}dx} .$
added 368 characters in body
1d
answered Infinite integrals$\int_0^{ + \infty } {\frac{1}{{\left( {x + 1} \right)\left( {{x^n} + 1} \right)}}dx} .$
1d
comment Finding the solutions of $x^2\equiv 9 \pmod {256}$.
The four solutions are $\pm3$ and $\pm125$.
1d
comment Infinite integrals$\int_0^{ + \infty } {\frac{1}{{\left( {x + 1} \right)\left( {{x^n} + 1} \right)}}dx} .$
We have $~I_n=\pi\cdot\dfrac{A_n}{n^2}+\dfrac{n\bmod2}n~,~$ where $A_n$ is an algebraic number.
1d
revised How to compute $\lim_{n\rightarrow\infty}e^{-n}\left(1+n+\frac{n^2}{2!}\cdots+\frac{n^n}{n!}\right)$
added 835 characters in body
1d
revised Evaluating $\lim_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
Removed % for Compatibility.
1d
answered How to compute $\lim_{n\rightarrow\infty}e^{-n}\left(1+n+\frac{n^2}{2!}\cdots+\frac{n^n}{n!}\right)$
1d
comment How to compute $\lim_{n\rightarrow\infty}e^{-n}\left(1+n+\frac{n^2}{2!}\cdots+\frac{n^n}{n!}\right)$
This question is a duplicate, and has been asked many times before on this very site.
2d
comment How can I calculate $\lim_{n \to \infty} (1 + \frac{1}{n!})^n$ and $\lim_{n \to \infty} (1 + \frac{1}{n!})^{n^n}$?
@MartinSleziak: I agree.
2d
comment Is university math all about proofs?
something adic, on some sort of space, satisfy some vexity, generalizable to some blah... - Oh, man, this is bloody brilliant... :-$)$ I'd give you a bounty for the question, if I could...
2d
comment I think I see mysterious lines inside triangles—how to prove their existence?
How to prove their existence ? - Build the triangles, and the proof will come.
2d
comment Has this approximation $0.41468250985111166$ a name?
As a general rule in life, whenever faced with integer sequences or decimal expansions, use OEIS and ISC.
2d
comment How can I calculate $\lim_{n \to \infty} (1 + \frac{1}{n!})^n$ and $\lim_{n \to \infty} (1 + \frac{1}{n!})^{n^n}$?
For the latter, see Stirling's approximation.
2d
comment How do I calculate $ \int_{-\infty}^{\infty} e^{-ax^2} \;\mathrm{d}x$ for $a>0 $
Hint: After using a simple substitution, see Gaussian integral.
2d
comment Computing irrational numbers
For n-th roots, see the binomial series and Newton's method.
2d
reviewed Approve Identify regions where $\sin(e^x)$ is analytic