Paul Pichaureau
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 8 Why is $(x+h)^n$ written like this? 7 How does $\exp(x+y) = \exp(x)\exp(y)$ imply $\exp(x) = [\exp(1)]^x$? 4 Is this a bad way of approaching math problems? 1 Compute $\lim\limits_{a \to 0^+} \left(a \int_1^{\infty} e^{-ax}\cos \left(\frac{2\pi}{1+x^{2}} \right)\,\mathrm dx\right)$ 1 Show $\sum_{k=1}^n (p_k + \frac{1}{p_k})^2\geq n^3 + 2n + \frac{1}{n}$ ; $p_k\geq 0 \forall k$ and $\sum_kp_k=1$

### Reputation (382)

 +10 Is this a bad way of approaching math problems? +10 Compute $\lim\limits_{a \to 0^+} \left(a \int_1^{\infty} e^{-ax}\cos \left(\frac{2\pi}{1+x^{2}} \right)\,\mathrm dx\right)$ +15 How does $\exp(x+y) = \exp(x)\exp(y)$ imply $\exp(x) = [\exp(1)]^x$? +5 Probability over a given $\sigma$-algebra

### Question (1)

 3 Probability over a given $\sigma$-algebra

### Tags (11)

 16 calculus × 3 1 integration 7 exponentiation 0 probability × 3 4 soft-question 0 probability-theory 1 differential-equations 0 education 1 inequality 0 group-theory

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