Question

Prove that the sequence of functions $x^nLogx$ is uniformly convergent on [0,1]

score 58 · Answer 1 · 2026-02-24 22:34:55

58

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Prove that the sequence of functions $x^nLogx$ is uniformly convergent on [0,1]

Published on 24 Feb 2026 - 22:34

score 43 · Answer 2 · 2026-02-24 22:36:13

43

Views

Uniform convergence of $g_n(x) := \frac{(x+1)^2 e^{-x} \sin x}{n^2x^2+n\sqrt n x +1}$ over $[0, +\infty)$

Published on 24 Feb 2026 - 22:36

score 56 · Answer 3 · 2026-04-09 08:49:45

56

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pointwise convergence definition

Published on 09 Apr 2026 - 8:49

score 60 · Answer 4 · 2026-02-24 22:33:04

60

Views

If a sequence of quadratic forms converges pointwise, then does the associated sequence of matrices also converge?

Published on 24 Feb 2026 - 22:33

score 60 · Answer 5 · 2026-02-24 22:33:04

60

Views

Where does the series $\sum_{n = 1}^{+\infty} \frac{(n!)^2}{(2n)!}z^n$ converge?

Published on 24 Feb 2026 - 22:33

score 94 · Answer 6 · 2026-04-11 17:30:44

94

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Variants of Dirichlet function in pointwise continuity

Published on 11 Apr 2026 - 17:30

score 57 · Answer 7 · 2026-04-12 00:16:34

57

Views

Sufficient condition for continuity of conditional expectation

Published on 12 Apr 2026 - 0:16

score 56 · Answer 8 · 2026-02-24 22:28:36

56

Views

Product topology and intersection of basis elements

Published on 24 Feb 2026 - 22:28

score 58 · Answer 9 · 2026-04-12 20:55:43

58

Views

Convergence in $L^p_{loc}$ implies convergence of a subsequence in $L^\infty$

Published on 12 Apr 2026 - 20:55

score 64 · Answer 10 · 2026-04-11 18:41:04

64

Views

Pointwise limit of functions on $[0,1]$

Published on 11 Apr 2026 - 18:41

score 43 · Answer 11 · 2026-04-13 00:19:36

43

Views

Exchange minimum and limit for a point-wise convergent function

Published on 13 Apr 2026 - 0:19

score 50 · Answer 12 · 2026-02-24 22:34:55

50

Views

If $f_n\to f$ pointwise on $[0,1]$, then $\sup_{[0,1]}f_n\to\sup_{[0,1]}f$ pointwise?

Published on 24 Feb 2026 - 22:34

score 29 · Answer 13 · 2026-04-11 22:33:41

29

Views

Rate of convergence of a threshold defined with sequences of functions

Published on 11 Apr 2026 - 22:33

score 40 · Answer 14 · 2026-02-24 22:28:41

40

Views

What is the limit function of $f_n(x) := \begin{cases} (x-n+1)(n+1-x): n-1 < x < n+1\\ 0: x \leq n-1 \lor x \geq n+1 \end{cases}$?

Published on 24 Feb 2026 - 22:28

score 42 · Answer 15 · 2026-04-12 07:43:15

42

Views

Uniform convergence of a series of functions depending upon a parameter

Published on 12 Apr 2026 - 7:43

List Question

Prove that the sequence of functions $x^nLogx$ is uniformly convergent on [0,1]

Uniform convergence of $g_n(x) := \frac{(x+1)^2 e^{-x} \sin x}{n^2x^2+n\sqrt n x +1}$ over $[0, +\infty)$

pointwise convergence definition

If a sequence of quadratic forms converges pointwise, then does the associated sequence of matrices also converge?

Where does the series $\sum_{n = 1}^{+\infty} \frac{(n!)^2}{(2n)!}z^n$ converge?

Variants of Dirichlet function in pointwise continuity

Sufficient condition for continuity of conditional expectation

Product topology and intersection of basis elements

Convergence in $L^p_{loc}$ implies convergence of a subsequence in $L^\infty$

Pointwise limit of functions on $[0,1]$

Exchange minimum and limit for a point-wise convergent function

If $f_n\to f$ pointwise on $[0,1]$, then $\sup_{[0,1]}f_n\to\sup_{[0,1]}f$ pointwise?

Rate of convergence of a threshold defined with sequences of functions

What is the limit function of $f_n(x) := \begin{cases} (x-n+1)(n+1-x): n-1 < x < n+1\\ 0: x \leq n-1 \lor x \geq n+1 \end{cases}$?

Uniform convergence of a series of functions depending upon a parameter

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