161 Really advanced techniques of integration (definite or indefinite) 20 Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$ 11 Examples of Mathematics in Court 6 Linear Approximation. 5 Fourier Decompositon problem

### Reputation (6,937)

 +80 Really advanced techniques of integration (definite or indefinite) +10 Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic? +50 Some users are mind bogglingly skilled at integration. How did they get there? +10 Constructing Riemann surfaces

### Questions (59)

 178 Some users are mind bogglingly skilled at integration. How did they get there? 12 Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic? 12 What exactly is antieigenvalue analysis? 11 Prove that $e^{t(X+Y)}=e^{tX} e^{tY}$ implies $[X,Y]=0$ 11 Having difficulty understanding topological groups.

### Tags (107)

 176 big-list × 3 46 calculus × 15 175 soft-question × 5 30 sequences-and-series × 9 168 integration × 7 20 linear-algebra × 15 164 indefinite-integrals × 2 17 limits × 9 161 definite-integrals × 2 16 derivatives × 7

### Bookmarks (149)

 194 Are $14$ and $21$ the only “interesting” numbers? 162 How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$? 158 What are the most overpowered theorems in mathematics? [closed] 149 Does a “cubic” matrix exist? 81 How to generate a random number between 1 and 10 with a six-sided die?

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