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32 votes

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Limit of $n$th root of $n$!

answered Feb 24, 2017 at 22:02

24 votes

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Determinant of a particular matrix.

answered Feb 15, 2019 at 16:35

18 votes

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Determinant of a matrix after changes

answered Feb 7, 2018 at 22:07

16 votes

Without using a calculator, is $\sqrt[8]{8!}$ or $\sqrt[9]{9!}$ greater?

answered May 1, 2018 at 19:15

15 votes

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should I learn measure theory before learning probability?

answered Dec 4, 2018 at 17:09

13 votes

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How to draw an intersection of multiple inequalities in Desmos?

answered Mar 1, 2018 at 14:03

13 votes

Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.

answered Feb 25, 2017 at 23:17

10 votes

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Determinants and Adjugates

answered Apr 3, 2018 at 19:40

10 votes

Help with sum of coefficients please!

answered Jan 13, 2016 at 11:07

10 votes

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A positive sequence must monotonically converges for large enough index.

answered Mar 19, 2017 at 0:03

8 votes

Power of a complex number, find $(\sqrt{3} + i)^{99}$

answered Apr 7, 2018 at 23:06

8 votes

Prove that the product of two continuous functions is continuous

answered Dec 30, 2015 at 12:21

8 votes

This simple algebra question

answered Feb 1, 2016 at 10:15

8 votes

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Difference between vectors and span

answered Feb 18, 2017 at 22:37

7 votes

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Rudin's PMA: problem 2.17

answered Apr 26, 2019 at 8:22

7 votes

Finding coefficient of polynomial?

answered Feb 14, 2016 at 8:23

7 votes

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Limit of a monotonically increasing sequence and decreasing sequence

answered Feb 4, 2017 at 9:41

6 votes

Supplementary Linear Algebra textbook

answered Apr 2, 2018 at 14:11

6 votes

Why can't $y=xe^x$ be solved for $x$?

answered Mar 21, 2018 at 15:50

6 votes

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Closed form of $\sum_{k=0}^p \binom{k+m-1}{m-1}?$

answered Feb 15, 2018 at 2:44

6 votes

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$ \mu(|f|\geq \alpha) = \frac{1}{\alpha} ||f||_1$

answered Feb 14, 2019 at 15:31

6 votes

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Are the endpoints of the domain of a function counted as critical points?

answered Apr 20, 2019 at 15:40

6 votes

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If $m$ and $n$ are reversed numbers (like $123$ and $321$) and $m * n = 1446921630$ , find $(m+n)$.

answered Dec 22, 2020 at 14:20

6 votes

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Show that this polynomial has three different real roots

answered Dec 23, 2017 at 18:20

6 votes

I want to know every single bit there is to understand in this following proof

answered Jan 18, 2018 at 2:09

5 votes

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$\lim\limits_{n\rightarrow \infty }\sum\limits_{k=0}^{n}\frac{(-1)^{k}\binom{n}{k}}{2k+1}=0$

answered Feb 8, 2018 at 18:29

5 votes

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Double antiderivative problem with natural logs

answered Mar 12, 2018 at 17:38

5 votes

Sequence of linear functionals on $\ell^{\infty}$

answered Mar 29, 2018 at 14:43

5 votes

Prove $\lim_{m\to\infty}\sum_{k=1}^m\frac{2^{-k}}{k} = \log 2$

answered Apr 2, 2018 at 16:32

5 votes

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Find all $c\in\lbrace{0,1,2,3,...\rbrace}$ such that $n^2+cn$ is a perfect square for all $n\in\mathbb{N}$.

answered Apr 3, 2018 at 9:55

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723 Answers

Limit of $n$th root of $n$!

Determinant of a particular matrix.

Determinant of a matrix after changes

Without using a calculator, is $\sqrt[8]{8!}$ or $\sqrt[9]{9!}$ greater?

should I learn measure theory before learning probability?

How to draw an intersection of multiple inequalities in Desmos?

Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.

Determinants and Adjugates

Help with sum of coefficients please!

A positive sequence must monotonically converges for large enough index.

Power of a complex number, find $(\sqrt{3} + i)^{99}$

Prove that the product of two continuous functions is continuous

This simple algebra question

Difference between vectors and span

Rudin's PMA: problem 2.17

Finding coefficient of polynomial?

Limit of a monotonically increasing sequence and decreasing sequence

Supplementary Linear Algebra textbook

Why can't $y=xe^x$ be solved for $x$?

Closed form of $\sum_{k=0}^p \binom{k+m-1}{m-1}?$

$ \mu(|f|\geq \alpha) = \frac{1}{\alpha} ||f||_1$

Are the endpoints of the domain of a function counted as critical points?

If $m$ and $n$ are reversed numbers (like $123$ and $321$) and $m * n = 1446921630$ , find $(m+n)$.

Show that this polynomial has three different real roots

I want to know every single bit there is to understand in this following proof

$\lim\limits_{n\rightarrow \infty }\sum\limits_{k=0}^{n}\frac{(-1)^{k}\binom{n}{k}}{2k+1}=0$

Double antiderivative problem with natural logs

Sequence of linear functionals on $\ell^{\infty}$

Prove $\lim_{m\to\infty}\sum_{k=1}^m\frac{2^{-k}}{k} = \log 2$

Find all $c\in\lbrace{0,1,2,3,...\rbrace}$ such that $n^2+cn$ is a perfect square for all $n\in\mathbb{N}$.