List questions from sequence-of-function

Published on 25 Apr 2020 - 17:44

82

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Almost sure convergence of subsequence

Published on 27 Apr 2020 - 15:07

46

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Prove that $f_{n}(z)=\frac{z + n}{n}$ does not converge uniformly

Published on 27 Apr 2020 - 16:59

81

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Finding supremum (Uniform convergence and integration).

Published on 28 Apr 2020 - 11:43

48

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uniform convergence of $x^n$ on (0,a) for 0<a<1

Published on 28 Apr 2020 - 23:07

102

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Extending improper integral.

Published on 30 Apr 2020 - 12:51

179

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Find $\lim_{n \rightarrow \infty} \int_{0}^{x} \frac{(-\ln{z})^n}{n!} dz$

Published on 02 May 2020 - 3:01

95

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Quadratic Recurrence $a_{n+1} = 4a_n - 4a_n^2$

Published on 02 May 2020 - 13:49

93

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Let $f : \mathbb R^+ \rightarrow \mathbb R^+$ satisfies $f(f(x)) + f(x) = 6x$. Show that $f(x) = 2x$ only.

Published on 03 May 2020 - 5:57

267

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find nth term of this sequence 3,18,41,72,111?

Published on 10 May 2020 - 14:52

81

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Why is $n^2x(1-x^2)^n$ not uniformly bounded in $I=[0,1]$?

Published on 13 May 2020 - 6:14

157

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uniform and absolute convergence of $\sum _{n=1}^{\infty }\:\frac{x^n}{1+x^n}$

Published on 14 May 2020 - 0:06

88

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Limit of continuous and monotone function on infinite sequence

Published on 15 May 2020 - 11:28

47

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Check: $\lim_{n\to \infty} f^{'}_n(x)=f^{'}(x)$

Published on 15 May 2020 - 16:28

512

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Uniform Convergence of $e^{-nx}$ on $[0,1]$, $[a,1]$, $(0,1]$

Published on 15 May 2020 - 22:13

List Question

Compact Subset in $C[0,1]$

Almost sure convergence of subsequence

Prove that $f_{n}(z)=\frac{z + n}{n}$ does not converge uniformly

Finding supremum (Uniform convergence and integration).

uniform convergence of $x^n$ on (0,a) for 0<a<1

Extending improper integral.

Find $\lim_{n \rightarrow \infty} \int_{0}^{x} \frac{(-\ln{z})^n}{n!} dz$

Quadratic Recurrence $a_{n+1} = 4a_n - 4a_n^2$

Let $f : \mathbb R^+ \rightarrow \mathbb R^+$ satisfies $f(f(x)) + f(x) = 6x$. Show that $f(x) = 2x$ only.

find nth term of this sequence 3,18,41,72,111?

Why is $n^2x(1-x^2)^n$ not uniformly bounded in $I=[0,1]$?

uniform and absolute convergence of $\sum _{n=1}^{\infty }\:\frac{x^n}{1+x^n}$

Limit of continuous and monotone function on infinite sequence

Check: $\lim_{n\to \infty} f^{'}_n(x)=f^{'}(x)$

Uniform Convergence of $e^{-nx}$ on $[0,1]$, $[a,1]$, $(0,1]$

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