Question

Dominated convergence theorem: Each $f_n$ have to be integrable in the assumption?

score 143 · Answer 1 · 2026-04-14 22:13:45

143

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Dominated convergence theorem: Each $f_n$ have to be integrable in the assumption?

Published on 14 Apr 2026 - 22:13

score 47 · Answer 2 · 2026-04-16 14:44:15

47

Views

For which value of $x \in R $ the following series converges $ \sum_{n=1}^\infty\frac{x^{n}}{1+x^{2n}}$

Published on 16 Apr 2026 - 14:44

score 54 · Answer 3 · 2026-04-14 07:36:32

54

Views

Sum of a recursive serie

Published on 14 Apr 2026 - 7:36

score 1.2k · Answer 4 · 2026-04-11 16:48:21

1.2k

Views

Obtain an explicit function from an implicit expression

Published on 11 Apr 2026 - 16:48

score 152 · Answer 5 · 2026-04-14 10:08:17

152

Views

Computing $\int_{\Bbb R^2}e^{-(4x^2+4xy+5y^2)}d(x,y)$

Published on 14 Apr 2026 - 10:08

score 728 · Answer 6 · 2026-04-16 19:07:31

728

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Find and prove the supremum of the following set: $S=\{\frac{n-1}{n^2+5}:n>1, n\in\Bbb N\}$

Published on 16 Apr 2026 - 19:07

score 354 · Answer 7 · 2026-04-11 03:27:54

354

Views

True or False: Countable vs. Uncountable Sets

Published on 11 Apr 2026 - 3:27

score 1.4k · Answer 8 · 2026-04-16 04:31:31

1.4k

Views

If the limits at infinity of $f$ and $f'$ exist and are finite, then is $\lim_{x \rightarrow \infty} f'(x) = 0$?

Published on 16 Apr 2026 - 4:31

score 464 · Answer 9 · 2026-04-06 15:15:52

464

Views

A first order non-homogeneous initial value problem

Published on 06 Apr 2026 - 15:15

score 32 · Answer 10 · 2026-04-19 11:55:02

32

Views

The boundedness of the function

Published on 19 Apr 2026 - 11:55

score 109 · Answer 11 · 2026-04-17 13:58:56

109

Views

Example of integrable function which is nowhere $p$-integrable

Published on 17 Apr 2026 - 13:58

score 145 · Answer 12 · 2026-04-17 04:20:42

145

Views

Showing that $\Psi(f) = \int^{b}_{a}\phi(f(x))dx$ is differentiable.

Published on 17 Apr 2026 - 4:20

score 307 · Answer 13 · 2026-04-20 07:46:08

307

Views

convergence of recursive sequence to limit not dependent on first term

Published on 20 Apr 2026 - 7:46

score 206 · Answer 14 · 2026-04-12 10:23:14

206

Views

Understanding the proof of every convergent sequence of real numbers is bounded.

Published on 12 Apr 2026 - 10:23

score 191 · Answer 15 · 2026-04-10 00:44:17

191

Views

What's the difference between identity and null element?

Published on 10 Apr 2026 - 0:44

List Question

Dominated convergence theorem: Each $f_n$ have to be integrable in the assumption?

For which value of $x \in R $ the following series converges $ \sum_{n=1}^\infty\frac{x^{n}}{1+x^{2n}}$

Sum of a recursive serie

Obtain an explicit function from an implicit expression

Computing $\int_{\Bbb R^2}e^{-(4x^2+4xy+5y^2)}d(x,y)$

Find and prove the supremum of the following set: $S=\{\frac{n-1}{n^2+5}:n>1, n\in\Bbb N\}$

True or False: Countable vs. Uncountable Sets

If the limits at infinity of $f$ and $f'$ exist and are finite, then is $\lim_{x \rightarrow \infty} f'(x) = 0$?

A first order non-homogeneous initial value problem

The boundedness of the function

Example of integrable function which is nowhere $p$-integrable

Showing that $\Psi(f) = \int^{b}_{a}\phi(f(x))dx$ is differentiable.

convergence of recursive sequence to limit not dependent on first term

Understanding the proof of every convergent sequence of real numbers is bounded.

What's the difference between identity and null element?

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