List questions from elementary-functions

Published on 07 Jul 2013 - 14:03

1.3k

Views

Prove that, if $0 < x < 1$, then $(1+\frac{x}{n})^n < \frac1{1-x}$

Published on 08 Jul 2013 - 15:13

740

Views

Proof of nonexistence of a solution to an equation in terms of elementary functions?

Published on 25 Mar 2026 - 12:27

793

Views

Graphing function with asymptotes at y=0,1

Published on 02 Aug 2013 - 1:57

164

Views

Defining a function via restrictions of many bijections

Published on 02 Aug 2013 - 19:49

7k

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What does it mean when an integral cannot be solved in terms of elementary functions?

Published on 05 Aug 2013 - 4:15

294

Views

Is this a trick question?

Published on 21 Aug 2013 - 6:28

318

Views

Domain of a function $f(x)= \sqrt{| x |} \cdot(2-\ln x^2)$

Published on 05 Sep 2013 - 0:22

100

Views

convergence of an ugly sequence

Published on 15 Sep 2013 - 15:53

4.4k

Views

Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions

Published on 21 Sep 2013 - 18:48

1k

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A closed form for $\int_0^\infty\frac{\sin(x)\ \operatorname{erfi}\left(\sqrt{x}\right)\ e^{-x\sqrt{2}}}{x}dx$

Published on 22 Sep 2013 - 1:11

167

Views

Is there a theorem like this in number theory or analysis?

Published on 24 Sep 2013 - 16:54

30

Views

If $f(n)\geq\beta \sum_{i=0}^{n-1}f(i)$,then $f(n)?$

Published on 29 Sep 2013 - 5:52

1.5k

Views

Algebraic numbers that cannot be expressed using integers and elementary functions

Published on 14 Oct 2013 - 17:56

164

Views

$\int_A f dm \leq 0 $ for all $A$ lebesgue measurable implies $f \leq 0 $ a.e

Published on 28 Oct 2013 - 0:01

List Question

Cubic with turning point near zero

Prove that, if $0 < x < 1$, then $(1+\frac{x}{n})^n < \frac1{1-x}$

Proof of nonexistence of a solution to an equation in terms of elementary functions?

Graphing function with asymptotes at y=0,1

Defining a function via restrictions of many bijections

What does it mean when an integral cannot be solved in terms of elementary functions?

Is this a trick question?

Domain of a function $f(x)= \sqrt{| x |} \cdot(2-\ln x^2)$

convergence of an ugly sequence

Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions

A closed form for $\int_0^\infty\frac{\sin(x)\ \operatorname{erfi}\left(\sqrt{x}\right)\ e^{-x\sqrt{2}}}{x}dx$

Is there a theorem like this in number theory or analysis?

If $f(n)\geq\beta \sum_{i=0}^{n-1}f(i)$,then $f(n)?$

Algebraic numbers that cannot be expressed using integers and elementary functions

$\int_A f dm \leq 0 $ for all $A$ lebesgue measurable implies $f \leq 0 $ a.e

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