Question

Show that $\frac{1}{t}\int_2^\infty\frac{1-\cos(tx)}{x^2\log x}dx\rightarrow 0$ as $t\rightarrow 0$

score 114 · Answer 1 · 2019-11-05 16:11:42

114

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Show that $\frac{1}{t}\int_2^\infty\frac{1-\cos(tx)}{x^2\log x}dx\rightarrow 0$ as $t\rightarrow 0$

Published on 05 Nov 2019 - 16:11

score 74 · Answer 2 · 2019-11-07 03:05:12

74

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Probability. Define Upper bound and Lower bound for double integral.

Published on 07 Nov 2019 - 3:05

score 43 · Answer 3 · 2019-11-10 16:22:58

43

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Stuck in recurrence relation

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score 77 · Answer 4 · 2019-11-11 14:32:35

How to prove that the number of ways that set[n] can be partitioned into disjoint non-empty subsets for even integers is between (n/2)^(n/2) and n^n

score 53 · Answer 5 · 2019-11-12 03:44:40

53

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Prove that $f: [0, \infty) \to \mathbb{R}$ given by $f(x) = \frac{1+2^x+x^3}{4+5e^x}$ is bounded.

Published on 12 Nov 2019 - 3:44

score 83 · Answer 6 · 2026-03-29 14:29:51

83

Views

Let A and B be nonempty and upper bounded real sets. Prove supA < supB

Published on 29 Mar 2026 - 14:29

score 27 · Answer 7 · 2026-03-26 14:25:27

27

Views

How concentrated is the $t^{th}$ smallest discrete uniform order statistic?

Published on 26 Mar 2026 - 14:25

score 2k · Answer 8 · 2026-03-29 14:31:08

2k

Views

Proof $\sqrt2$ is supremum of $x^2 <2 $

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score 45 · Answer 9 · 2019-11-15 11:11:48

45

Views

Lower bound of a polynomial of degree 2

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score 51 · Answer 10 · 2026-03-28 08:17:14

51

Views

Lower and upper bound

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score 145 · Answer 11 · 2026-03-29 23:26:05

145

Views

Is there a known upper bound on $\prod\limits_{i=1}^{n}(1-ix)$

Published on 29 Mar 2026 - 23:26

score 602 · Answer 12 · 2019-11-18 07:32:22

602

Views

Upper bound for absolute value integral

Published on 18 Nov 2019 - 7:32

score 38 · Answer 13 · 2026-03-29 14:29:56

38

Views

How to estimate this number from above and from below?

Published on 29 Mar 2026 - 14:29

score 33 · Answer 14 · 2026-03-30 11:58:44

33

Views

Is there a lower bound on the number of ones in the binary representations of powers of three?

Published on 30 Mar 2026 - 11:58

score 17 · Answer 15 · 2019-11-20 20:06:57

17

Views

Upper bound implication for a real, nonnegative and nonincreasing function.

Published on 20 Nov 2019 - 20:06

List Question

Show that $\frac{1}{t}\int_2^\infty\frac{1-\cos(tx)}{x^2\log x}dx\rightarrow 0$ as $t\rightarrow 0$

Probability. Define Upper bound and Lower bound for double integral.

Stuck in recurrence relation

How to prove that the number of ways that set[n] can be partitioned into disjoint non-empty subsets for even integers is between (n/2)^(n/2) and n^n

Prove that $f: [0, \infty) \to \mathbb{R}$ given by $f(x) = \frac{1+2^x+x^3}{4+5e^x}$ is bounded.

Let A and B be nonempty and upper bounded real sets. Prove supA < supB

How concentrated is the $t^{th}$ smallest discrete uniform order statistic?

Proof $\sqrt2$ is supremum of $x^2 <2 $

Lower bound of a polynomial of degree 2

Lower and upper bound

Is there a known upper bound on $\prod\limits_{i=1}^{n}(1-ix)$

Upper bound for absolute value integral

How to estimate this number from above and from below?

Is there a lower bound on the number of ones in the binary representations of powers of three?

Upper bound implication for a real, nonnegative and nonincreasing function.

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