List questions from monotone-functions

Published on 17 Nov 2017 - 14:05

43

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Monotonicity - Prove or disprove statements

Published on 19 Nov 2017 - 19:31

461

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Prove that a sequence is monotonically decreasing/increasing

Published on 24 Nov 2017 - 15:17

89

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Prove sequence is monotically decreasing

Published on 25 Nov 2017 - 14:09

693

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Prove $f_{n_k}$ converges uniformly on compact sets.

Published on 28 Nov 2017 - 21:57

755

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Proving that $a_n=\sqrt{n^2+n}-n$ converges, finding its limit and showing that its sequence ${(a_n)^{\infty}_{n=1}}$ is monotinic.

Published on 29 Nov 2017 - 20:01

199

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Set of somewhere locally monotone functions is meagre

Published on 01 Dec 2017 - 4:18

172

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Does finite number of extrema in an interval imply piecewise monotonicity in that interval?

Published on 02 Dec 2017 - 0:24

1.5k

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Finding the interval for which $f(x) =x+2\sin(x)$ is increasing

Published on 29 Mar 2026 - 17:27

292

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$ f : D \rightarrow \mathbb{R} $ monotone increasing. Cardinality of discontinuity points?

Published on 05 Dec 2017 - 20:40

766

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Writing a monotone function as the sum of two monotone functions

Published on 08 Dec 2017 - 13:23

50

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Does a polyhedron transformed with a monotonic function remain a polyhedron?

Published on 15 Dec 2017 - 12:53

164

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Monotony of a sequence

Published on 16 Dec 2017 - 15:44

85

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How can we check the continuity of that function?

Published on 17 Dec 2017 - 2:45

857

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Is Monotonicity-preserving cubic spline interpolation continuous to the second derivative?

Published on 27 Mar 2026 - 7:13

List Question

Prove that sequence is monotone with induction

Monotonicity - Prove or disprove statements

Prove that a sequence is monotonically decreasing/increasing

Prove sequence is monotically decreasing

Prove $f_{n_k}$ converges uniformly on compact sets.

Proving that $a_n=\sqrt{n^2+n}-n$ converges, finding its limit and showing that its sequence ${(a_n)^{\infty}_{n=1}}$ is monotinic.

Set of somewhere locally monotone functions is meagre

Does finite number of extrema in an interval imply piecewise monotonicity in that interval?

Finding the interval for which $f(x) =x+2\sin(x)$ is increasing

$ f : D \rightarrow \mathbb{R} $ monotone increasing. Cardinality of discontinuity points?

Writing a monotone function as the sum of two monotone functions

Does a polyhedron transformed with a monotonic function remain a polyhedron?

Monotony of a sequence

How can we check the continuity of that function?

Is Monotonicity-preserving cubic spline interpolation continuous to the second derivative?

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