### Answers (396)

 46 Where did the negative answer come from? 41 Limit of $(1+ x/n)^n$ when $n$ tends to infinity 23 How to solve the inequality $x^2>10$ using square roots? 14 Inequality $\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}<\frac{3}{2}$ 14 How prove this inequality $(1+\frac{1}{16})^{16}<\frac{8}{3}$

### Reputation (12,642)

 +5 A Polish space which is not locally compact +10 Trying to evaluate $\prod_{k=1}^{n-1}(1-e^{2k\pi i/n})$ for my complex analysis homework +30 Limit of $(1+ x/n)^n$ when $n$ tends to infinity +10 Conditional expectation equals random variable almost sure

### Questions (15)

 13 Why is $\sum_{n=-\infty}^{\infty}\exp(-(x+n)^2)$ “almost” constant? 7 A Polish space which is not locally compact 6 What is a realization of random variable? 4 Total variation distance is complete 4 Show the following definition does not give a $\sigma$-addtive measure pathwisely

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