List questions from sequence-of-function

Published on 20 Oct 2020 - 7:57

51

Views

Give an example of 2 sequences of functions $ f_{n},g_{n} $ and 2 functions $ f_{0},g_{0} $ that satisfies the following:

Published on 20 Oct 2020 - 18:26

118

Views

Typewriter sequence on R

Published on 20 Oct 2020 - 20:19

452

Views

Bound of sum of cos(kx)

Published on 20 Oct 2020 - 22:42

26

Views

Problem about convergence of an integral

Published on 22 Oct 2020 - 10:17

51

Views

how to prove $f_{n}$ convergence uniformly to $f(x)$

Published on 22 Oct 2020 - 14:31

27

Views

function for which I cannot have a sequence of $C^{\infty}$-functions that converges everywhere pointwise to it.

Published on 22 Oct 2020 - 17:12

39

Views

How to prove that if ${_}$ is bounded in $(C^0[0,1],‖⋅‖_∞)$, then ${_}$ is bounded in $(^0[0,1],‖⋅‖_∞)$?

Published on 22 Oct 2020 - 19:34

82

Views

How to prove a recursive equation with mathematical induction?

Published on 27 Oct 2020 - 20:11

123

Views

Finding the limit of the integral of some uniformly convergant sequence of functions

Published on 28 Oct 2020 - 3:56

36

Views

Subsequence of $G$?

Published on 28 Oct 2020 - 17:00

59

Views

Sequence of functions defined by recursion

Published on 29 Oct 2020 - 20:07

2.3k

Views

If $ f_n\to f $ pointwise, and $f_n $ are increasing continuous functions, and $ f $ is continuous, then $f_n\to f $ uniformly

Published on 30 Oct 2020 - 9:07

156

Views

Show $\lim_{n \to \infty} \sup_{x \in [0,1]} (e^{-nx} - (1-x)^n) = 0$?

Published on 31 Oct 2020 - 1:18

206

Views

Is the limit of a sequence of continuous functions bounded?

Published on 25 Feb 2026 - 13:14

List Question

Please check my solution (Uniform convergence of the functions)

Give an example of 2 sequences of functions $ f_{n},g_{n} $ and 2 functions $ f_{0},g_{0} $ that satisfies the following:

Typewriter sequence on R

Bound of sum of cos(kx)

Problem about convergence of an integral

how to prove $f_{n}$ convergence uniformly to $f(x)$

function for which I cannot have a sequence of $C^{\infty}$-functions that converges everywhere pointwise to it.

How to prove that if ${_}$ is bounded in $(C^0[0,1],‖⋅‖_∞)$, then ${_}$ is bounded in $(^0[0,1],‖⋅‖_∞)$?

How to prove a recursive equation with mathematical induction?

Finding the limit of the integral of some uniformly convergant sequence of functions

Subsequence of $G$?

Sequence of functions defined by recursion

If $ f_n\to f $ pointwise, and $f_n $ are increasing continuous functions, and $ f $ is continuous, then $f_n\to f $ uniformly

Show $\lim_{n \to \infty} \sup_{x \in [0,1]} (e^{-nx} - (1-x)^n) = 0$?

Is the limit of a sequence of continuous functions bounded?

Trending Questions

Popular # Hahtags

Popular Questions