Question

Show that the recursive sequence $x_{k+1} = |x_k - \frac{x_k}{1-2M^2x_k^2}|$ is monotone

score 70 · Answer 1 · 2026-03-28 08:42:00

70

Views

Show that the recursive sequence $x_{k+1} = |x_k - \frac{x_k}{1-2M^2x_k^2}|$ is monotone

Published on 28 Mar 2026 - 8:42

score 49 · Answer 2 · 2024-01-27 16:16:02

49

Views

Concave continous function with special property implies that is strictly increasing?

Published on 27 Jan 2024 - 16:16

score 211 · Answer 3 · 2024-01-28 02:36:24

211

Views

Is there a purely algebraic proof that the sequence $a_N:=\left(\frac{N!}{N^N}\right)^\frac{1}{N} $ is monotone decreasing?

Published on 28 Jan 2024 - 2:36

score 310 · Answer 4 · 2024-02-09 09:14:16

310

Views

Some doubtful implication for mathematical analysis.

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score 19 · Answer 5 · 2026-03-27 21:51:25

19

Views

Monotonic relationship with plateaus and vertical portions?

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score 56 · Answer 6 · 2024-02-14 20:40:41

56

Views

Is there a monotone function that is not differentiable everywhere?

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score 38 · Answer 7 · 2024-02-16 07:54:05

38

Views

First derivative test - how to prove it from the "monotonicity theorem"?

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score 87 · Answer 8 · 2024-02-16 14:45:04

87

Views

Can a discontinuous function be increasing or decreasing

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score 28 · Answer 9 · 2024-02-17 08:04:31

28

Views

Monotonicity of an expectation of monotonous function with unknown closed-form.

Published on 17 Feb 2024 - 8:04

score 73 · Answer 10 · 2026-03-26 04:34:19

73

Views

Number of monotonically increasing functions such that $f(i)\le i$.

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score 87 · Answer 11 · 2024-02-18 21:16:27

87

Views

$x^n/(1+x^n) $is monotonic

Published on 18 Feb 2024 - 21:16

score 23 · Answer 12 · 2024-02-25 20:18:00

23

Views

When is a sequence that is bounded below by an unbounded and monotone increasing also monotone increasing?

Published on 25 Feb 2024 - 20:18

score 21 · Answer 13 · 2024-03-01 07:30:01

21

Views

Monotonicity of the probability of a sum of independent random variables being below a threshold

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score 58 · Answer 14 · 2024-03-05 00:25:59

58

Views

Proving the sequence of harmonic function uniformly converges on compact sets.

Published on 05 Mar 2024 - 0:25

score 150 · Answer 15 · 2024-03-07 03:23:01

150

Views

How to prove a function is strictly increasing?

Published on 07 Mar 2024 - 3:23

List Question

Show that the recursive sequence $x_{k+1} = |x_k - \frac{x_k}{1-2M^2x_k^2}|$ is monotone

Concave continous function with special property implies that is strictly increasing?

Is there a purely algebraic proof that the sequence $a_N:=\left(\frac{N!}{N^N}\right)^\frac{1}{N} $ is monotone decreasing?

Some doubtful implication for mathematical analysis.

Monotonic relationship with plateaus and vertical portions?

Is there a monotone function that is not differentiable everywhere?

First derivative test - how to prove it from the "monotonicity theorem"?

Can a discontinuous function be increasing or decreasing

Monotonicity of an expectation of monotonous function with unknown closed-form.

Number of monotonically increasing functions such that $f(i)\le i$.

$x^n/(1+x^n) $is monotonic

When is a sequence that is bounded below by an unbounded and monotone increasing also monotone increasing?

Monotonicity of the probability of a sum of independent random variables being below a threshold

Proving the sequence of harmonic function uniformly converges on compact sets.

How to prove a function is strictly increasing?

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