![Proving a Sequence of Functions Converges Uniformly f_n(x) = 1/(1 + x^n) Advanced Calculus Proof - YouTube Proving a Sequence of Functions Converges Uniformly f_n(x) = 1/(1 + x^n) Advanced Calculus Proof - YouTube](https://i.ytimg.com/vi/i_TtG4NqzBM/mqdefault.jpg)
Proving a Sequence of Functions Converges Uniformly f_n(x) = 1/(1 + x^n) Advanced Calculus Proof - YouTube
![real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange](https://i.stack.imgur.com/LVqX2.jpg)
real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange
![real analysis - Show that $f_{n}(x)=\frac{x}{1+nx^{2}}$ converges uniformly. - Mathematics Stack Exchange real analysis - Show that $f_{n}(x)=\frac{x}{1+nx^{2}}$ converges uniformly. - Mathematics Stack Exchange](https://i.stack.imgur.com/DSEu1.png)
real analysis - Show that $f_{n}(x)=\frac{x}{1+nx^{2}}$ converges uniformly. - Mathematics Stack Exchange
![SOLVED: EXAMPLE 1 CnzL Here the ratio test gives A2di 1m;vnna n? @n+l xn+l n2 (- 46 lim lim lim Ix| = Ixl: n+00 @n n-00 (n +1)2 n-00 (n + 1)2 " SOLVED: EXAMPLE 1 CnzL Here the ratio test gives A2di 1m;vnna n? @n+l xn+l n2 (- 46 lim lim lim Ix| = Ixl: n+00 @n n-00 (n +1)2 n-00 (n + 1)2 "](https://cdn.numerade.com/ask_images/3b1bdbe9ca7748a18dd7154a195f91d7.jpg)
SOLVED: EXAMPLE 1 CnzL Here the ratio test gives A2di 1m;vnna n? @n+l xn+l n2 (- 46 lim lim lim Ix| = Ixl: n+00 @n n-00 (n +1)2 n-00 (n + 1)2 "
![real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/dqX3t.png)
real analysis - Proving that the series $\sum\limits_{n=0}^{\infty} 2^n \sin (\frac{1}{3^nx})$ does not converge uniformly on $(0,\infty)$ - Mathematics Stack Exchange
![real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange](https://i.stack.imgur.com/kNsdq.jpg)
real analysis - prove function series $f_n(x)=(\sin x)^{1/n} $ doesn' converge uniformly - Mathematics Stack Exchange
![functional analysis - Convergence in $(L_P(a,b),\|.\|_p)$ doesn't imply convergence in $(C(a,b),\sup)$ - Mathematics Stack Exchange functional analysis - Convergence in $(L_P(a,b),\|.\|_p)$ doesn't imply convergence in $(C(a,b),\sup)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/w0kPO.png)