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13
Coin tosses with unknown success probability
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12
Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.
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11
Evaluate the limit $\lim\limits_{n\rightarrow \infty}\int_{0}^{\pi}\left|\sin(x)-\sin(2nx)\right|\text{ d}x$
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8
Price of Option in Betting Game
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7
Idea to show $\max\left\{\int_{0}^{1}\sqrt{1+n^2x^{2n-2}} \right\}dx < 2$
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7
Finding $\displaystyle \lim_{n \rightarrow \infty} \sqrt{n} \int_0^1 \left(\frac{\sin t}{t}\right)^n dt$
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7
Finding $\mathbb E(Y_1^2Y_2^2)$ when $(Y_1,Y_2)$ is normal
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6
Examples which show $\|\cdot\|_p$ on $L^p$ is not induced by an inner product (Parallelogram law)
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6
Prove $\sum_{n=0}^\infty(-1)^n \frac{\Gamma\left(\frac{n+2}{2}\right)}{\Gamma\left(\frac{n+3}{2}\right)}=\frac{1}{\sqrt{\pi}}(\pi-2)$
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6
What is the relation between Zeta Function and nth Integral?
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5
Using connectedness to prove surjectivity...
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5
Evaluate $\lim\limits_{n\to\infty}{\dfrac{1}{n}\sum_{k=1}^n\sin{\left(\dfrac{n}{k}\right)}}$.
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5
$A+B+\frac{1}{2}BA^{-1}B$ is positive definite.
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5
If $\sum a_n b_n$ converges, does $\sum \overline{a_n} b_n$ converge too?
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5
How to prove $\sum_{k=p}^n (-1)^k\binom{n}{k}\binom{k}{p} = (-1)^p$ by using generating functions
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5
Is there a sequence $(t_n)_{n\ge 0}$ such that $\lim_n t_n = \infty$, $\lim_n \Delta_n = 0$ and $\sup_n S_n < \infty$?
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5
Is convergence of vectors equivalent to convergence of inner products
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5
Find the maximum of $\frac{\sum_{i=1}^n \sin \alpha_i}{\sum_{i=1}^n \cos \alpha_i}$ for $\sum\limits_{i=1}^n \sin^2 \alpha_i=1$
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