Question

power series and conditional convergence at an end point

score 171 · Answer 1 · 2026-03-27 19:52:52

171

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power series and conditional convergence at an end point

Published on 27 Mar 2026 - 19:52

score 95 · Answer 2 · 2026-03-25 07:45:27

95

Views

On the choice of general Lyapunov functions for discontinuous control

Published on 25 Mar 2026 - 7:45

score 113 · Answer 3 · 2018-08-08 15:43:49

113

Views

$g(x) = \lim_{y \to x} f(y)$ is continuous.

Published on 08 Aug 2018 - 15:43

score 665 · Answer 4 · 2018-08-08 18:56:41

665

Views

How do I use the Intermediate Value Theorem in this question?

Published on 08 Aug 2018 - 18:56

score 34 · Answer 5 · 2018-08-08 21:35:42

34

Views

If, for every $a \in \partial U$, $\lim_{x \to a}f(x) = 0$, prove that there is at least a critical point of $f$ in $U$.

Published on 08 Aug 2018 - 21:35

score 119 · Answer 6 · 2018-08-09 12:53:15

119

Views

Every equation $x^n + a_{n_1}x^{n-1} + \dots + a_0 = 0$ has a real root, if $n$ is odd.

Published on 09 Aug 2018 - 12:53

score 191 · Answer 7 · 2026-03-29 03:52:43

191

Views

If A is compact then is f(A) closed?

Published on 29 Mar 2026 - 3:52

score 2.7k · Answer 8 · 2026-03-25 15:58:31

2.7k

Views

Is the inverse of a continuous function an open map?

Published on 25 Mar 2026 - 15:58

score 175 · Answer 9 · 2018-08-09 17:41:45

175

Views

Continuous Function taking rationals to irrationals and vice versa

Published on 09 Aug 2018 - 17:41

score 758 · Answer 10 · 2026-03-26 08:15:00

758

Views

Prove that $f$ is uniformly continuous on $R^n$

Published on 26 Mar 2026 - 8:15

score 200 · Answer 11 · 2018-08-09 23:43:19

200

Views

Proof of $\nabla f(x^*) = 0$ is necessary condition for minimizer, using taylor expansions

Published on 09 Aug 2018 - 23:43

score 26 · Answer 12 · 2018-08-10 07:49:00

26

Views

Function where for which any change in xy-plane implies change in z

Published on 10 Aug 2018 - 7:49

score 51 · Answer 13 · 2018-08-10 13:57:45

51

Views

Why is $f(x,y)$ continuous if $\lim_{r\to 0}\sin\left(\frac{1}{r^2}\right)$ is not defined

Published on 10 Aug 2018 - 13:57

score 368 · Answer 14 · 2026-02-23 04:52:10

368

Views

Continuous mapping theorem for a sequence of densities?

Published on 23 Feb 2026 - 4:52

score 95 · Answer 15 · 2018-08-10 18:46:39

95

Views

Does there exist such an interval?

Published on 10 Aug 2018 - 18:46

List Question

power series and conditional convergence at an end point

On the choice of general Lyapunov functions for discontinuous control

$g(x) = \lim_{y \to x} f(y)$ is continuous.

How do I use the Intermediate Value Theorem in this question?

If, for every $a \in \partial U$, $\lim_{x \to a}f(x) = 0$, prove that there is at least a critical point of $f$ in $U$.

Every equation $x^n + a_{n_1}x^{n-1} + \dots + a_0 = 0$ has a real root, if $n$ is odd.

If A is compact then is f(A) closed?

Is the inverse of a continuous function an open map?

Continuous Function taking rationals to irrationals and vice versa

Prove that $f$ is uniformly continuous on $R^n$

Proof of $\nabla f(x^*) = 0$ is necessary condition for minimizer, using taylor expansions

Function where for which any change in xy-plane implies change in z

Why is $f(x,y)$ continuous if $\lim_{r\to 0}\sin\left(\frac{1}{r^2}\right)$ is not defined

Continuous mapping theorem for a sequence of densities?

Does there exist such an interval?

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