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 45 Where did the negative answer come from? 19 How to solve the inequality $x^2>10$ using square roots? 14 Inequality $\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}<\frac{3}{2}$ 12 Give a combinatorial argument 11 what is the value of the following sum?

### Reputation (10,316)

 +10 Adaptive gambler's ruin problem +10 Integrate $\int \frac{e^{2x} - 2e^x}{e^{2x} - 1} dx$ +10 Rule of 72 doubling time +10 Calculating Vandermonde determinant

### Questions (14)

 13 Why is $\sum_{n=-\infty}^{\infty}\exp(-(x+n)^2)$ “almost” constant? 4 Show the following definition does not give a $\sigma$-addtive measure pathwisely 4 A Polish space which is not locally compact 3 bounded measure and dense subset of continuous functions 3 Independence implies constancy

### Tags (150)

 150 sequences-and-series × 47 81 algebra-precalculus × 10 118 limits × 31 79 probability × 72 112 calculus × 50 69 probability-theory × 62 108 real-analysis × 70 54 combinatorics × 18 92 inequality × 25 45 nested-radicals

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 Mathematics 10,316 rep 11141 Area 51 151 rep 2 MathOverflow 126 rep 4 Stack Overflow 101 rep 2 Quantitative Finance 101 rep 1