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May
17
answered Identity with Bernoulli numbers: $\sum\limits_{k=1}^{n}k^p=\frac{1}{p+1}\sum\limits_{j=0}^{p}\binom{p+1}{j}B_j n^{p+1-j}$
May
17
answered Using the hypothesis $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ to prove something else
May
16
answered area of triangle
May
9
answered a system of equation
May
8
answered Evaluate $\int \frac {\operatorname d\!x} {2x \sqrt{1-x}\sqrt{2-x + \sqrt{1-x}}}$
May
5
answered Prove $\left(\dfrac{2}{5}\right)^{\frac{2}{5}}<\ln{2}$
May
3
answered Find all functions $f$ that assign a real number $f(x)$ to every real number $x$ . . .
May
3
answered Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$
May
2
answered Is $u_n\le(1-a)^n\forall n\in\mathbb{N}$?
May
2
answered If $p$ be a prime and r be any integer, $0 < r < p$ then $\frac{(p-1)!}{r!(p-r)!}$ is an integer.
May
1
answered Asymptotic Approximation and Sign Convention
May
1
answered Limit of $\frac{\log(n!)}{n\log(n)}$ as $n\to\infty$.
May
1
answered Sequence convergence of positive numbers
Apr
27
answered Convergent or Divergent? $\sum_{n=1}^\infty\bigl(2^{\frac1{n}}-1\bigr)$
Apr
24
answered An identity involving Stirling numbers of the second kind and binomial coefficients
Apr
21
answered A question on a proof of $y(y+1) \le (x+1)^2 \implies y(y-1) \le x^2$
Apr
20
answered How many injective functions $f:[1,…,m]\to{[1,…,n]}$ has no fixed point? $(m\le n)$
Apr
20
answered Suppose that $f$ is continuous on $\mathbb{R}$ and $\int_{x-1}^{x}f(t)\,dt=x^{2}$. Find $f(x)$.
Apr
19
answered Evaluating Sums Algebraically or Combinatorially
Apr
19
answered Radius of Convergence for $\sum \frac{[1\cdot 3 \cdots (2n-1)]^2}{2^{2n}(2n)!}x^n$