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### Questions (13)

 20 Asymptotics of $1^n + 2^{n-1} + 3^{n-2} +\cdots + (n-1)^2 + n^1$ 4 Finding the asymptotics of a summation $\sum_{k=1}^{n}\frac{n-k+1}{k}$ 3 How many all prime numbers p with length of bits of p = 1024 bits? 3 How to calculate this limit $\lim\limits_{n\to\infty}\left(\sum\limits_{i=1}^{n}\frac{1}{\sqrt{i}} - 2\sqrt{n}\right)$ 1 Prove that: set $\{1, 2, 3, …, n - 1\}$ is group under multiplication modulo $n$?

### Reputation (343)

 +5 Find $a_n$ with $n\geq 0$ +5 Why is positive irrational number not a group? +5 How many all prime numbers p with length of bits of p = 1024 bits? +5 Asymptotics of $1^n + 2^{n-1} + 3^{n-2} +\cdots + (n-1)^2 + n^1$

 6 How can I prove the inequality $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} \geq \frac{9}{x+y+z}$? 1 Show that $\alpha_1u+\alpha_2v+\alpha_3w=0\Rightarrow\alpha_1=\alpha_2=\alpha_3=0$ 1 Finding $\lim \limits_{x \to 0} \frac{1 - \cos x}{x}$, given $\lim \limits_{x \to 0} \frac{\sin x}{x} = 1$ 0 exponential equation 0 Solving the equation $\sin t = -\sqrt{2}/2$

### Tags (16)

 6 algebra-precalculus × 4 0 group-theory × 5 6 inequality 0 abstract-algebra × 4 1 limits × 2 0 asymptotics × 3 1 linear-algebra 0 generating-functions × 2 1 calculus 0 recurrence-relations

### Accounts (4)

 Mathematics 343 rep 214 Cryptography 140 rep 4 Stack Overflow 101 rep English Language & Usage 101 rep