19 Is a Lipschitz function differentiable? 9 What can using the “opposite” combination for integration by parts be used for 8 Find $\int_{\frac{1}{e}}^{e}|\ln x| dx$ 8 Prove $\int_{\pi}^{\infty}\frac{\cos(x)}{x}dx$ is convergent 8 Is this sequence convergent for n in natural numbers

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### Questions (90)

 7 Find a limit of $\ln(u_n)/2^n$ 6 Computing the square root of a circle 6 Computing $\int \sqrt{x\sqrt{x\sqrt{x\sqrt{x\cdots}}}} \,\mathrm{d}x$ 5 Beautiful sum of trigonometric roots [duplicate] 5 Study of a “ flow ”

### Tags (148)

 113 calculus × 57 34 linear-algebra × 23 90 real-analysis × 57 31 derivatives × 15 77 integration × 40 29 analysis × 13 60 sequences-and-series × 75 26 summation × 14 48 limits × 43 24 functions × 26

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 764 Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem) 95 How prove this nice limit $\lim\limits_{n\to\infty}\frac{a_{n}}{n}=\frac{12}{\log{432}}$ 35 Relation between the roots of a function 32 Assume $f\left({\frac{f(x)}{x}}\right)= f(x)$. Show that $f$ continuous 28 Convergence of $a_n=(1-\frac12)^{(\frac12-\frac13)^{…^{(\frac{1}{n}-\frac{1}{n+1})}}}$

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