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15 Questions

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18	Asymptotics of $1^n + 2^{n-1} + 3^{n-2} +\cdots + (n-1)^2 + n^1$
4	Finding the asymptotics of a summation $\sum_{k=1}^{n}\frac{n-k+1}{k}$
2	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	How many all prime numbers p with length of bits of p = 1024 bits?
1	Prove that $f$ is not onto

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308 Reputation

+10	Show that $\alpha_1u+\alpha_2v+\alpha_3w=0\Rightarrow\alpha_1=\alpha_2=\alpha_3=0$
+5	Asymptotics of $1^n + 2^{n-1} + 3^{n-2} +\cdots + (n-1)^2 + n^1$
+10	Finding $\lim \limits_{x \to 0} \frac{1 - \cos x}{x}$, given $\lim \limits_{x \to 0} \frac{\sin x}{x} = 1$
+5	Finding the asymptotics of a summation $\sum_{k=1}^{n}\frac{n-k+1}{k}$

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6 Answers

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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 $\sin t = -\sqrt{2}/2$

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18 Tags

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

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