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Nov
21
comment Finding the limit $\lim_{n \to \infty}{\frac{\Sigma_{0}^{n}(1/n)}{\ln(n)}}$
Start from 1 not 0, limit is 1
Nov
20
comment How to derive $\frac{d}{dn}n! = \Gamma(1 + n)\psi^{(0)}(n+ 1)$?
$\frac{d}{dn}n!$ does not make sense, $n!$ is not continuous like $\Gamma(x)$
Nov
19
revised if $n\ge4$ then there exists a prime $p$ s.t. $n=p\cdot2^{k}+a$ where $k \ge 1$, $a<2^{k}$
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Nov
18
revised Asymptotic behaviour of $a_{k+1}=a_{k}(1+\frac{1}{\log a_{k}})$
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Nov
18
comment Calculate the limit of the function
@ClaudeLeibovici : Not a nightmare, but just tedious, have a look at my answer. Nightmare is when a problem can not be broken down and have to be handled for example the monster group en.wikipedia.org/wiki/Monster_group
Nov
18
revised Calculate the limit of the function
added 1188 characters in body
Nov
18
answered Calculate the limit of the function
Nov
18
revised Prove if $56x = 65y$ then $x + y$ is divisible by $11$
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Nov
18
revised $a_1=1,a_{n+1}=\frac{n}{a_n}+\frac{a_n}{n}$. Prove that for $n\ge4$, $\lfloor{a_n^2}\rfloor=n$
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Nov
18
revised $a_j \geq 0, \sum_{j=1}^{\infty} a_j$ divergent $\implies \sum_{j=1}^{\infty}\frac{a_j}{1 + a_j}$
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Nov
18
revised Are there other cases similar to Herglotz's integral $\int_0^1\frac{\ln\left(1+t^{4+\sqrt{15}}\right)}{1+t}\ \mathrm dt$?
added 10 characters in body; edited title
Nov
17
revised Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$
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Nov
17
revised Prove $\binom{n}{a}\binom{n-a}{b-a} = \binom{n}{b}\binom{b}{a}$
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Nov
17
revised Evaluate $\int\limits_0^\pi \frac{\sin^2x}{2-\cos x}\ \mathrm dx$ by complex methods
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Nov
17
revised Evaluating $\int_{0}^{\pi} \frac{\cos(nx)}{(p+\cos(x))^2+q^2}\ \mathrm dx$
added 12 characters in body; edited title
Nov
17
comment What's the deal with integration?
"Grand Master of Matrix Multiplication", very nice title indeed.
Nov
17
accepted What's the deal with integration?
Nov
17
revised What's the deal with integration?
added 354 characters in body
Nov
17
comment What's the deal with integration?
"Just to take a very simple example" indeed.That does not includes air resistance and changing gravitational potential with respect to distance or is it the simplified version? does any of calculations for Voyeger or like Cassini done in this way? ( That is the practical situation not just an apple falling from a tree!)
Nov
17
asked What's the deal with integration?