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Mathematics
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jxie20
  • Member for 7 years, 7 months
  • Last seen more than 6 years ago
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5
Determine whether or not $\exp\left(\sum_{n=1}^{\infty}\frac{B(n)}{n(n+1)}\right)$ is a rational number
Feb 5, 2017
4
Let $R$ be a ring, and let $C$={$x\in R: xy=yx$ for all y in $R$} [duplicate]
Jan 26, 2017
2
If n is a positive multiple of 6, show that ${n\choose1}-3{n\choose3}+3^2{n\choose5}-\cdots=0$
Jan 28, 2017
2
Let $T_n=\sum\limits_{i=1}^n\frac{(-1)^{i+1}}{2i-1}$ and $T=\lim T_n$, show that $\sum\limits_{n=1}^\infty(T_n-T)=\frac{\pi-2}8$ [closed]
Feb 6, 2017
2
Use infinite series to prove
Feb 20, 2017
1
show that ${r \choose 0}{s \choose n}+{r \choose 1}{s \choose n+1}+{r \choose 2}{s \choose n+2}+...+{r \choose n}{s \choose n+n}={r+s \choose s-n}$
Jan 28, 2017
1
{$x_n$} is the sequence of the largest real roots to the sequence of polynomials {$Q_n(x)$} defined as followed, show that {$x_n$} converges
Feb 21, 2017
0
Factoring 6th degree polynomial
Jan 16, 2017
0
why is $\cos{x} \gt 1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}$ [closed]
Feb 19, 2017
0
An acute triangle is inscribed in a circle. The resulting three minor arcs of the circle are reflected about the corresponding sides of the triangle.
Feb 22, 2017