Philippe Malot
Reputation
1,578
Next privilege 2,000 Rep.
5 19
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~24k people reached

 22 Prove $\sqrt{2} + \sqrt{5}$ is irrational 9 Prove $\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$ using real analysis techniques only 9 Uniform limit of holomorphic functions 8 How can I express the sum of $\sin a+\sin2a+\sin3a+\cdots+\sin(n-1)a$? 6 Use the Residue Theorem to evaluate the integral:

### Reputation (1,578)

 +10 Evaluation of $\lim_{x\to 0} \frac{(1+x)^{1/x}-e+\frac{ex}{2}}{x^2}$ +10 Use the Residue Theorem to evaluate the integral: +10 Show that the topological space ( X, $\tau$ ) is not metrizable +2 what is the value of K for given recurrence relation?

### Questions (5)

 5 Finding two curves with intersection included in a specified neighborhood 2 Are complex submanifolds necessarily closed? 2 A positive “Fourier transform” is integrable 1 Local compactness of $C^k(M,N)$ strong space. 0 Number of digits in base 10=9+1

### Tags (62)

 35 complex-analysis × 18 19 integration × 5 22 calculus × 8 11 improper-integrals × 2 22 irrational-numbers 10 sequences-and-series × 3 22 radicals 9 contour-integration × 3 20 real-analysis × 9 9 definite-integrals

### Accounts (6)

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