# All Questions

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### Calculate the Radius of convergence of $\sum^\infty_1(x+1)^n\frac{(-2)^n+3^n}{n}$

I need your help: Calculate the Radius of convergence of the following: $$\sum^\infty_1(x+1)^n\frac{(-2)^n+3^n}{n}$$ Im new to this subject, so I'd appreciate it if you can add explanations to ...
### Does $f_{n}\left(x\right)=x\arctan\left(nx\right)$ converge uniformly?
Does $f_{n}\left(x\right)=x\arctan\left(nx\right)$ converge uniformly when $x\in\left(0,\infty\right)$? I know that the limit function is $f\left(x\right)=\frac{\pi}{2}x$. I think it does converge ...