### Questions (56)

 5 Show that $\sum_{n=1}^\infty \ \frac{x}{n(1+nx^2)}$ converges uniformly on $R$. 4 How to prove that $\lim_{n\to\infty} \sqrt[n]{a^n+b^n}=\operatorname{max}(a,b)$? [duplicate] 3 Reciprocal of the Weierstrass $M$ test. 3 Why $f_n(x)=\sqrt[n]{x}$ on $[0,1]$ doesn't converge uniformly? 2 How to find a second solution for ODE $xy''+3y'+x^3y=0$?

### Reputation (713)

 +10 How to prove the integral formulae of the inverse path $\alpha^-$ and the product path $\alpha\beta$? +10 How to find the shortest distance from $(1,0)$ to $y^2=4x$? +10 Radial and transverse components of velocity and acceleration. +10 How to show if the complex series $\sum_{n=2}^\infty \frac{(-i)^n}{\ln n}$ converges or diverges?

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### Tags (44)

 0 vector-analysis × 25 0 real-analysis × 5 0 calculus × 17 0 uniform-convergence × 5 0 sequences-and-series × 11 0 multivariable-calculus × 4 0 convergence-divergence × 6 0 power-series × 3 0 linear-algebra × 5 0 probability × 3

### Bookmarks (69)

 769 Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem) 70 What is the equation for a 3D line? 35 What is vector division? 34 How many possible combinations in 8 character password? 23 When to do u-substitution and when to integrate by parts