List questions from real-analysis

Published on 15 Apr 2026 - 13:14

75

Views

Find the limit of $\frac{e^n}{2^n+1}$ as $n→\infty$

Published on 10 May 2026 - 23:27

395

Views

Show that ${\frac{x_1^{n}+x_2^{n}+...+x_n^{n}}{x_1x_2...x_n} + \frac{\sqrt[n]{x_1x_2...x_n}}{x_1+x_2+...+x_n}}\ge{n+\frac{1}{n}}$

Published on 17 Apr 2026 - 1:31

38

Views

How to understand the closure in different sets?

Published on 09 Apr 2026 - 12:52

117

Views

Finding a series expansion for this integral, for large $\lambda > 0$

Published on 11 May 2026 - 1:41

62

Views

general question about polynomials converging to a function

Published on 14 May 2026 - 10:07

72

Views

Connected subsets of $\mathbb{R^3}$

Published on 10 May 2026 - 20:06

64

Views

Proving uniform continuity in $\frac{x-2}{3x-4}$

Published on 10 May 2026 - 14:06

284

Views

What is the value of $k$?

Published on 10 May 2026 - 14:05

50

Views

$1\ne\sum_{n\ne0}\frac{(-1)^{n+1}}{in}\big(e^{in\theta}\big)'=\sum_{n\ne0}(-1)^{n+1}e^{in\theta}$

Published on 10 May 2026 - 22:55

82

Views

Help me to find the second limit

Published on 17 Apr 2026 - 23:13

32

Views

A problem with defining a norm to get a contraction

Published on 10 May 2026 - 15:44

356

Views

Prove that the recursive sequence $(a_n)_{n \ge 1}$ is convergent and find its limit

Published on 15 Apr 2026 - 20:02

25

Views

Inclusion of a set in a bounded domain

Published on 13 Apr 2026 - 8:01

167

Views

Proving existence of a maximum of a continuous function

Published on 11 Apr 2026 - 21:32

List Question

How to read "$\bigcup_{n = 1}^\infty$", as in $\bigcup_{n = 1}^\infty[2n, 2n+1]$

Find the limit of $\frac{e^n}{2^n+1}$ as $n→\infty$

Show that ${\frac{x_1^{n}+x_2^{n}+...+x_n^{n}}{x_1x_2...x_n} + \frac{\sqrt[n]{x_1x_2...x_n}}{x_1+x_2+...+x_n}}\ge{n+\frac{1}{n}}$

How to understand the closure in different sets?

Finding a series expansion for this integral, for large $\lambda > 0$

general question about polynomials converging to a function

Connected subsets of $\mathbb{R^3}$

Proving uniform continuity in $\frac{x-2}{3x-4}$

What is the value of $k$?

$1\ne\sum_{n\ne0}\frac{(-1)^{n+1}}{in}\big(e^{in\theta}\big)'=\sum_{n\ne0}(-1)^{n+1}e^{in\theta}$

Help me to find the second limit

A problem with defining a norm to get a contraction

Prove that the recursive sequence $(a_n)_{n \ge 1}$ is convergent and find its limit

Inclusion of a set in a bounded domain

Proving existence of a maximum of a continuous function

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